Watch highlights from every Premier League game, plus a full review of Saturday's matches, as Chelsea scored five against Wolves, Tottenham hit Crystal Palace for four, and Manchester United beat Leicester.
Manchester City slumped to a first defeat in 19 Premier League games as injury-hit Norwich deservedly won 3-2 at Carrow Road.
The champions had last lost in the league in January - a 2-1 reversal at Newcastle - but the Canaries were in inspired form to deny Pep Guardiola's side.
Norwich, who were without seven players and could not call on City loanee Patrick Roberts, took the lead in the 18th minute.
Kenny McLean headed home a corner at the near post and the Canaries were soon 2-0 up when Teemu Pukki teed up Todd Cantwell to tap into an empty net.
City, who are already five points behind leaders Liverpool with just five games played this term, got themselves back in the game before half-time when Sergio Aguero nodded home Bernardo Silva's cross.
Yet the visitors' disastrous day took another turn when Nicolas Otamendi lost possession 20 yards from his own goal, and Emiliano Buendia set up Pukki to add a third in the 51st minute.
City pressed a resolute Norwich defence for the remainder of the game, finding an 87th-minute consolation through Rodri, but the hosts held on for a famous victory.
A Sadio Mane brace helped Liverpool come from behind to beat Newcastle 3-1 in the Premier League's early kick-off at Anfield, and maintain their 100 per cent winning start to the season.
Jetro Willems stunned Anfield by firing Steve Bruce's side into an early with a brilliant strike but the Reds responded in style.
Mane netted twice before the interval and Mohamed Salah added the third after an exquisite piece of skill from the outstanding Roberto Firmino, who had started on the bench.
Victory was Liverpool's fifth in an impressive start to the league season and was the perfect warm-up for the start of their Champions League defence at Napoli next week.
Tammy Abraham's fine goalscoring form continued with a hat-trick as Chelsea beat Wolves 5-2 at Molineux.
Fikayo Tomori put Frank Lampard's Blues ahead with a superb 31st-minute strike and Abraham doubled the advantage three minutes later.
Abraham, who had netted twice in each of his previous two games, then added a header in the 41st minute and a 55th-minute finish to make victory look all but secure for the away side.
Wolves hit back via an Abraham own-goal in the 69th minute and it was 4-2 in the 85th thanks to substitute Patrick Cutrone, before Mason Mount notched Chelsea's fifth in added time.
Abraham's eventful outing concluded with him coming off injured in the 77th minute - but he had a big smile on his face come the final whistle.
Chelsea registered the contest's first attempt on goal in the 20th minute as a flick by the fit-again Antonio Rudiger, making his maiden appearance of the season, deflected wide.
Willian subsequently fired over the Wolves goal before the visitors grabbed the lead in spectacular fashion when Jota's challenge on Mount sent the ball to Tomori and the young defender curled in a stunning strike from around 30 yards out.
Three minutes later the advantage was doubled as Tomori played a pass towards Mount in the box, he went down but the ball ricocheted to Abraham, and the striker turned and fired past Rui Patricio.
And after Andreas Christensen had taken the ball away from Jota in the Chelsea area, Abraham then notched his second, Conor Coady unable to prevent the former Aston Villa loanee from heading in Marcos Alonso's cross.
The hosts were then tormented once again by Abraham at the other end of the pitch as he completed his treble, bringing down a Jorginho pass, getting past Coady and slotting a shot into the net.
Soon after, Wolves pulled a goal back when Romain Saiss' header from Joao Moutinho's corner went in via the gloves of Kepa Arrizabalaga and Abraham.
Wolves reduced the deficit further with five minutes of normal time remaining when Doherty's shot was parried by Arrizabalaga and Cutrone converted from close-range on the follow-up, the effort being allowed to stand after a VAR check for offside.
The home side had another penalty shout rejected, following a coming together between Tomori and Cutrone, before Mount wrapped up the scoring late on, taking a pass from substitute Michy Batshuayi, cutting inside Jesus Vallejo and shooting past Patricio.
Marcus Rashford ended Manchester United's penalty curse and got Ole Gunnar Solskjaer's injury-hit side back to winning ways as Leicester's unbeaten start to the season came to an end.
A number of onlookers made the Foxes favourites for their Old Trafford reunion with Harry Maguire given the way Brendan Rodgers' side have impressed in the early weeks of the campaign.
United have dropped points and that form was compounded injury issues, but the world's most expensive defender helped his new employers keep a rare clean sheet on an afternoon when Rashford's early penalty proved enough to secure a 1-0 win.
Maguire got a hard time from the Leicester fans, who coined a song belittling their former hero and singing the praises of Caglar Soyuncu - a man who may have stepped up admirably this term but cost his side in the north west.
The Leicester defender caught Rashford in the box and the United forward dusted himself down to send Kasper Schmeichel the wrong way.
United were soon breathing a sigh of relief, though, as James Maddison got through and held off Victor Lindelof to get an attempt that ricocheted behind off David De Gea's foot.
Ben Chilwell, rattled by an earlier McTominay tackle, forced De Gea into a fine save as Leicester belatedly settled and the left-back hit a volleyed effort from the edge of the box that was tipped over the bar.
United held firm as the Foxes probed without seriously threatening before a half-time break that Solskjaer's side returned from with renewed intent.
Daniel James fizzed just over as he went close to joining his manager as the only United players to have scored in their first three Premier League appearances at Old Trafford, before Juan Mata and Pereira had attempts.
Maguire elicited a huge cheer from the home fans after dispossessing Demarai Gray and bursting forwards and the Leicester old boy saw a header saved after Maddison whistled a free-kick just past the United goal.
Rashford struck the crossbar with a superb free-kick from nigh on 30 yards as United pushed for another, knowing that Leicester tend to finish games on top.
Rodgers' side did indeed push for a late leveller and Wilfred Ndidi went close, firing a volleyed shot just wide of the near post with De Gea beaten.
Mauricio Pochettino got the perfect response to the summit talks he held with his Tottenham squad as a first-half blitz saw them hammer Crystal Palace 4-0.
Boss Pochettino got his group together this week following the closure of the European transfer window to galvanise them and it did the trick as they posted a joint-record win at their new stadium.
They got the job done in the opening 45 minutes thanks to Son Heung-min's double, a Patrick van Aanholt own goal and Erik Lamela's fourth.
Spurs had two shots inside the opening minute, from Harry Winks and Son, before the South Korean continued his love of scoring against Palace by giving his side a 10th-minute lead.
He was set clear by Toby Alderweireld's pinpoint ball over the top and, after cutting inside on to his left foot, produced a composed finish into the bottom corner.
It proved the perfect launchpad for Spurs to get the game won inside the opening 25 minutes as they blitzed Palace with two goals in 100 seconds and returning defender Serge Aurier created them both.
The Ivory Coast international, who was making his first start of the season having admitted he wanted to leave the club in the summer, will try and claim the first as it was his cross - after being set free by Son - that Van Aanholt turned into his own net.
Less than two minutes later a team move that involved Lamela, Christian Eriksen, Winks and then Aurier ended with Son thrashing home a low volley at the far post from the right-back's brilliant cross.
Spurs' attacking players were causing Palace no end of problems and they were rewarded with a fourth goal in the 42nd minute and it was another fine team effort.
Son was involved again as he found Kane on the right hand edge of the penalty area and the England captain whipped in a delicious cross which was begging to be converted, with Lamela making no mistake.
Unsurprisingly, with the job done, the second half lacked the intensity and Palace came close to reducing their deficit when Gary Cahill's header stung the palms of Hugo Lloris.
A late equaliser from Burnley's Jeff Hendrick earned his side a 1-1 draw as Brighton's winless streak at the Amex Stadium continued.
After a goalless first half Neal Maupay broke the deadlock, striking a superb volley from the edge of the box.
The Seagulls looked to be heading towards victory before the ball fell to Hendrick outside the box and he sent a powerful drive past the outstretched Mathew Ryan and into the bottom corner.
Brighton have not managed to win at home in the Premier League since their 1-0 victory over Huddersfield on March 2.
The south coast club have now lost five and drawn three of their last eight games at the Amex Stadium, leaking 17 goals while scoring just four as Graham Potter's wait for a first home win goes on.
The early momentum went in favour of the visitors, and the Clarets came close to taking an early lead in the 16th minute when a Dwight McNeil cross was almost turned into his own net by Dan Burn after Adam Webster failed to clear the low ball.
Brighton grew into the game towards the end of the first 45 minutes, penning Burnley back inside their own half, and Clarets goalkeeper Nick Pope was called on to make two saves - from Solly March and Glenn Murray - to keep the score level.
The Seagulls started the second half in much the same way as they finished the first, and were rewarded for it in the 51st minute, when Maupay volleyed home a March cross to score his first home goal.
A volley from Chris Wood almost levelled the score for Burnley against the run of play, after he stuck out a foot to try and divert Ashley Westwood's bicycle kick towards the goal, and put it just wide of the post.
Brighton kept the intensity up, putting pressure on the Burnley defence to try and score a second, with substitute Aaron Connolly having one of the better chances in the 89th minute, but his effort went high and wide of the goal.
Against the run of play, however, substitute Jeff Hendrick equalised with his long-distance strike in the 91st minute.
Moussa Djenepo marked his first Premier League start for Southampton with the winning goal against Sheffield United at Bramall Lane.
The Mali international forward, signed from Standard Liege in the summer, scored the only goal of the game after 66 minutes to give Saints a 1-0 victory.
It settled a match in which both teams spurned gilt-edged chances, especially in the first half, and overall it was harsh on the hosts - who had a goal ruled out for offside following a VAR review shortly before Djenepo struck.
The Blades' frustration was compounded late on when substitute Billy Sharp was shown a straight red card after catching Stuart Armstrong on the shin with a late challenge.
The game sprung into life after 11 minutes when former Blade Che Adams' volley from the edge of the penalty area thumped against the foot of the post.
Immediately at the other end, a counter-attack saw David McGoldrick through one-on-one with Angus Gunn but the Southampton goalkeeper blocked his effort.
A series of defensive errors by the hosts presented Southampton with a good chance to head into half-time in front but Sofiane Boufal rushed his shot, taking it first time when he could have had a touch, and Henderson made a routine save down to his left.
The Blades thought they had taken the lead eight minutes into the second half but Oli McBurnie's far-post finish from Norwood's beautifully-delivered free-kick was ruled out for offside following a VAR check.
Southampton took the lead just after the hour when Boufal nicked possession in midfield. Djenepo showed good strength to hold off the challenge of Norwood, who tried to foul him at least a couple of times, before jinking his way into the penalty area and beating Henderson with a low shot into the bottom corner of the net.
Fleck flashed a shot just past the post from 25 yards out as the hosts tried to equalise and McGoldrick was denied by Gunn again. However, Sharp's red card against his former club all but ended any hopes they had of getting anything from the match.