Watch highlights from every Premier League game, as Manchester City take just 68 seconds to score against Brighton, while Leicester made it two straight wins and Sheffield United score late to earn a point at Chelsea.
Liverpool moved back to the top of the Premier League table with a dominant 3-0 win over Burnley at Turf Moor – a club record 13th consecutive league victory.
Chris Wood was unfortunate to deflect Trent Alexander-Arnold's cross beyond his own goalkeeper in the 33rd minute and Sadio Mane doubled the lead soon after.
Roberto Firmino sealed the points late on to maintain Liverpool's perfect start as they broke their record of 12 consecutive league victories set under Kenny Dalglish in 1990.
Kevin De Bruyne netted after 68 seconds and Sergio Aguero struck twice as champions Manchester City strolled to a comprehensive 4-0 victory over Brighton.
Aguero, who has now scored five in four Premier League games this season, also set up City's fourth for substitute Bernardo Silva in a one-sided encounter at the Etihad Stadium.
The only downside for City was the loss of Aymeric Laporte with a serious-looking knee injury in the first half.
The defender, a day after being named as the best left-sided centre-back in the world by manager Pep Guardiola, was injured in a challenge on Adam Webster.
Laporte had been hopeful of making his France debut in the upcoming Euro 2020 qualifiers against Albania and Andorra, but that now looks in doubt.
City have already lost Leroy Sane to a long-term knee injury this season and will be anxious Laporte's problem is not as bad. The injury took the shine off an otherwise fine afternoon.
Sheffield United came from two goals down to earn a 2-2 draw at Chelsea which leaves Frank Lampard still looking for a first home win in charge.
The Blues looked to have the points in the bag as Tammy Abraham's first-half double gave them a comfortable half-time lead, but the Blades mounted an impressive second-half recovery.
Callum Robinson got it under way less than a minute after the restart and then Kurt Zouma's own goal in the 87th minute earned a deserved point for the Blades.
Lampard was fuming when the leveller went in, throwing a bottle down in disgust, but his young side's soft underbelly was exposed by the Blades.
Boss Chris Wilder will not care too much about that, though, as his team celebrated a second point on the road of the campaign.
Jamie Vardy's double sunk Bournemouth as Leicester sent out an early European warning. The Foxes climbed to third in the Premier League as they continued their unbeaten start with a 3-1 win at the King Power Stadium.
Vardy scored in each half and set up Youri Tielemans just before the break with Brendan Rodgers' side looking to gatecrash the top six this term.
England striker Callum Wilson's first goal of the season had initially pulled Bournemouth level in the first half. Tielemans also escaped a second-half red card after a VAR check when he went over the ball to catch Wilson on the ankle.
The Cherries would have had every right to feel aggrieved with VAR again under the spotlight, as it was they slipped to 14th after suffering successive defeats.
Daniel James' stunner was unable to inspire Manchester United to victory at Southampton thanks to Jan Vestergaard's towering header and a spirited display after Ralph Hasenhuttl's side were reduced to 10 men.
United have an outstanding record at St Mary's and Ole Gunnar Solskjaer's men looked on course for a first away win since their jaw-dropping Champions League triumph at Paris St Germain.
But the visitors were unable to build on James' beautiful early strike and Vestergaard levelled after the break, with Saints holding on for a 1-1 draw despite Kevin Danso's sending-off leaving them under the cosh for the final 20 minutes.
Crystal Palace secured a second Premier League win of the season as Jordan Ayew hit the only goal of the game to down 10-man Aston Villa, who had a last-gasp equaliser controversially ruled out.
After securing a rare victory at Manchester United last weekend, the Eagles had just about enough to win 1-0 against a Villa side who played with a man short for over half an hour following the sending off of Trezeguet.
The game ended in contentious fashion, Jack Grealish galloping forward with the ball before hitting the deck on the edge of the Palace box.
The Villa skipper did not appeal for a penalty and instead poked the ball to Henri Lansbury to fire in. The visitors thought they had rescued a late point, only for referee Kevin Friend to controversially blow his whistle and show a yellow card to Grealish, who was incensed with the decision.
Sebastien Haller continued his goalscoring form as West Ham made it back-to-back Premier League wins with a 2-0 victory over Norwich at the London Stadium.
The French striker scored twice in the Hammers' win at Watford last weekend and only had to wait until the 24th minute to strike again to put Manuel Pellegrini's side ahead.
The hosts continued to dominate in the second half as Andriy Yarmolenko hit his first goal since September 2018, volleying past Tim Krul to give his side their first home win of the season.
Norwich slumped to their third defeat of their first league four matches and failed to score a goal for the first time in the Premier League this season. They head into the international break with four losses from five matches in all competitions.
Defender Fabian Schar rescued a point for Newcastle as Watford finally opened their new Premier League account on Tyneside.
The Switzerland international cancelled out Will Hughes' second-minute opener just before half-time to clinch a 1-1 draw between the sides occupying 19th and 20th positions in the table before kick-off.
That handed the Hornets a first point of the season after three successive defeats, but represented a disappointment for Steve Bruce's side, who had gone into the game with high hopes of building upon last weekend's fine win at Tottenham.
Newcastle warmed to their task after a drab first half in front of a crowd of 44,157, but their poor start and a lack of precision when they did finally get going proved costly.