Soccer – Premier League Review:Chelsea's 100 per cent record ended at Eastlands where Carlos Tevez scored the winner for Man City, while Arsenal's unbeaten run also came to an end at the Emirates Stadium where they slipped to a shock 3-2 defeat to West Brom.
At the Emirates Chris Brunt missed a first-half penalty before Peter Odemwingie and Gonzalo Jara put the Baggies 2-0 up, the second goal coming courtesy of a gaffe by Gunners stopper Manuel Almunia.
Former Arsenal man Jerome Thomas scored a third with 20 minutes left before Samir Nasri pulled two back for Arsene Wenger's men, who suffered their first home defeat since January.
At Eastlands a largely uninspiring early kick-off was settled by City captain Tevez, who drove at the Chelsea defence before unleashing a 20-yard strike which beat Petr Cech just before the hour mark.
The result brings to an end the leaders' five-match winning streak and draws Roberto Mancini's team level on points with Arsenal and Manchester United, who face Bolton on Sunday.
Steven Gerrard's second-half equaliser prevented Liverpool from succumbing to their third defeat in seven days as they had to settle for a 2-2 draw with Sunderland at Anfield.
Dirk Kuyt's controversial goal put Liverpool ahead after five minutes. After being awarded a free-kick by referee Stuart Attwell, Sunderland defender Michael Turner tapped the ball back to his goalkeeper Simon Mignolet, presumably believing he would take it.
Attwell judged the ball to be live though, allowing Fernando Torres to intercept before squaring the ball to Kuyt, who tapped home, much to the annoyance of the travelling team and fans.
Sunderland hit back soon after through a Darren Bent penalty before the England striker added his second to put the Black Cats 2-1 ahead.
Liverpool, who lost to Northampton in midweek, would have lost their third league game of the campaign had Gerrard not nodded home on the hour.
Daniel Agger should have won it for Roy Hodgson's side but he missed a sitter from six yards at the death.
The pressure on West Ham boss Avram Grant eased after he guided his side to their first league win of the season with a 1-0 victory in the London derby against Tottenham.
Frederic Piquionne leapt high to power home a Mark Noble corner just after the half-hour mark to move the Hammers up to 18th.
Everton sunk to the bottom of the table despite coming away from Craven Cottage with a creditable goalless draw against Fulham.
Mark Schwarzer did well to save from Mikel Arteta and Ayegbeni Yakubu to prevent Fulham from losing their first league game of the campaign.
An injury-time strike from Brett Emerton gave Blackburn a 2-1 win at Blackpool.
Substitute Matt Phillips thought he had rescued a point for the Tangerines after he drew the scores level following Charlie Adam's first-half own goal.
But Emerton pounced on a loose ball in the box in injury time to give Blackburn the win to end Blackpool's unbeaten home record.
In Saturday's other game, 10-man Birmingham endured a frustrating afternoon at St Andrew's, where they failed to break down a determined Wigan.
Craig Gardner was sent off in the dying minutes in an otherwise uninspiring encounter in which the Blues made it 18 games unbeaten at home, equalling the club's best run in the top flight.
Premier League Results
Man City 1 Chelsea 0
Arsenal 2 West Brom 3
West Ham 1 Tottenham 0
Fulham 0 Everton 0
Blackpool 1 Blackburn 2
Liverpool 2 Sunderland 2
Birmingham 0 Wigan 0