A quickfire Martin Odegaard double helped Arsenal on their way to a 3-0 win at AFC Bournemouth and move the Gunners to the top of the table above north London rivals Tottenham Hotspur.
Odegaard tapped in after Gabriel Martinelli's shot was parried by Mark Travers to put Arsenal ahead on five minutes before sweeping in six minutes later to make it 2-0.
William Saliba opened his Premier League account in style with a whipped strike in the 54th minute to seal victory.
Harry Kane's second-half header earlier in the day earned Spurs a hard-fought 1-0 success over Wolverhampton Wanderers.
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The forward's second goal in as many matches moves Spurs up to second on seven points, two behind Arsenal, while Wolves, who handed a debut to club-record signing Matheus Nunes, are 17th with one point.
Five-goal thriller in west London derby
Aleksandar Mitrovic's superb 90th-minute header earned Fulham their first win of the season as they beat west London rivals Brentford 3-2.
Bobby De Cordova-Reid scored after only 44 seconds to put Fulham in front and Joao Palhinha doubled the hosts' advantage.
But Christian Norgaard and Ivan Toney pulled Brentford level before Mitrovic's third goal of the campaign sent Fulham up to fourth on five points, a point above fifth-placed Brentford.
Elsewhere, Crystal Palace also picked up their first victory of 2022/23 as they came from behind to defeat Aston Villa 3-1.
Ollie Watkins gave Villa a fifth-minute lead but a Wilfried Zaha double and a goal by substitute Jean-Philippe Mateta secured the turnaround win.
Palace climb to 10th on four points, while Villa sit 13th on three points.
Saints off the mark at winless Leicester
Southampton were another side to pick up their first win of the season, coming from behind to claim a 2-1 success at Leicester City.
James Maddison's sweeping free-kick gave the Foxes a 54th-minute lead but Southampton substitute Che Adams scored twice to leave Leicester in 18th on one point, while Southampton are 12th with four points.
Nottingham Forest were denied back-to-back victories as Demarai Gray struck in the 88th minute to earn Everton a 1-1 draw at Goodison Park.
Brennan Johnson scored his first Premier League goal to break the deadlock with nine minutes remaining but Gray had the final say to earn Everton's first point of the season, lifting them up to 16th. Forest are 11th on four points.
Can City return to the summit?
Champions Manchester City travel to Newcastle United on Sunday afternoon as they bid to maintain their 100 per cent start to the season.
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Leeds United host Chelsea while West Ham United will be targeting their first win of the campaign, at home to Brighton & Hove Albion.