Premier League champions Manchester City had to settle for a 1-1 draw at Stoke City.
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Peter Crouch was on target against City in the league last season, and he repeated the trick by controlling Jonathan Walters' cross in the box before drilling home, although he appeared to use his hand in the build-up.
City's equaliser came from an unlikely source, as debutant Javi Garcia nodded in unmarked from a set-piece on a day when Maicon and Scott Sinclair were also awarded first starts by Roberto Mancini.
For all City's pressure in the second half, they could not break through, with Ryan Shawcross' late clearance from Edin Dzeko in the dying moments denying them all three points.
Arsenal made a serious statement of intent at Emirates Stadium by thrashing Southampton 6-1. The Saints are still without a point this season.
The Gunners' relentless early pressure was rewarded when Jos Hooiveld put through his own net after Kelvin Davis palmed away Kieran Gibbs' shot. That blow rattled Southampton, and they were two goals down shortly after, Lukas Podolski curling in a free-kick for his first goal at Emirates Stadium.
Gervinho notched the next for Arsene Wenger's rampant side following an inventive through ball from Mikel Arteta, while another own goal - this time from Nathaniel Clyne - left the Saints staring at a thrashing. They did manage to reduce the deficit through Danny Fox - the first goal Arsenal had conceded in the Premier League this season - with the defender gifted his strike by an error from Wojciech Szczesny.
Arsenal noticeably let their tempo drop in the second half, but Gervinho did manage to grab his second, profiting from Aaron Ramsey's fine work, and Theo Walcott netted against his old club to complete Southampton's misery.
Paul Scholes netted on his 700th Manchester United appearance as the Red Devils cruised past Wigan 4-0 at Old Trafford.
The hosts were gifted a soft penalty within the first five minutes when Ali Al-Habsi was penalised for bringing down Danny Welbeck, but justice was done as the goalkeeper saved Javier Hernandez' spot-kick.
United were otherwise subdued in the first half, but they took the lead early in the second period through Paul Scholes before Hernandez atoned for his earlier aberration with a trademark poacher's finish.
Alexander Buttner, making a debut at left-back after signing from Vitesse Arnhem, announced himself to the home crowd with a superb solo strike, putting the game beyond Wigan. Another debutant, former Crewe youngster Nick Powell, thumped home to round off the scoring.
Liverpool are still searching for their first win of the season as they came from behind to claim a 1-1 draw at Sunderland.
Liverpool, playing for the first time since the revelations about the Hillsborough disaster, were hoping to kickstart a season that had seen them take only one point from their opening three games.
Their hopes of doing so took a hit in the 29th minute, as Steven Fletcher capitalised on defensive uncertainty to fire the hosts into the lead. Luis Suarez, who was earlier booked when going down in the penalty area, smashed home an equaliser on 71 minutes, but a winner was not forthcoming.
Chelsea's 100% start to the league season was brought to an end as they were held 0-0 at Loftus Road by QPR. Anton Ferdinand rejected handshakes with both John Terry and Ashley Cole before the kick-off.
Chelsea shaded an evenly-fought first half in which QPR lost two players - Fabio da Silva and Andy Johnson - to injury. There was little between the sides after the break, with the best chance falling to Bobby Zamora, who somehow contrived to miss from close range.
Dimitar Berbatov bagged a brace as Fulham proved there is life after Clint Dempsey and Moussa Dembele with a 3-0 triumph over ten-man West Brom.
The former Manchester United striker showed why Martin Jol described him as the biggest signing in the Cottagers' history by conjuring a delightful 15-yard opener.
West Brom's task was made considerably tougher when Peter Odemwingie saw red, and Fulham took total control after Berbatov nonchalantly stroked in a penalty. Steve Sidwell's 89th-minute goal completed the scoring at Craven Cottage.
Aston Villa won a league match for the first time since March by overcoming Swansea 2-0 at Villa Park.
The home fans' nerves were settled by a terrific long-range strike from right-back Matt Lowton, who chested the ball down before volleying past Michel Vorm. A late strike from new signing Christian Benteke, the Belgium international who arrived last month from Genk, put the seal on the triumph.
In the day's early game, Norwich City played out a 0-0 draw with West Ham United at Carrow Road.
Norwich, still searching for their first Premier League victory, felt aggrieved that they were not awarded a first-half penalty when James Collins fouled Andrew Surman, but the challenge was outside the area. A late chance for on-loan striker Harry Kane also went begging late on for the hosts.