Daniel Sturridge scored remained top of the goalscoring charts after James Morrison scored a consolation from the penalty spot. Liverpool remain second.
Manchester United came from behind twice against Stoke to register another unconvincing victory under David Moyes. Peter Crouch's opener was cancelled out by Robin van Persie but Marko Arnautović swiftly restored Stoke's lead via an excellent free-kick.
Wayne Rooney levelled again and moments later substitute Javier Hernández scored his fifth goal against Stoke to win the match 10 minutes from time.
Arsenal remain at the summit after a 2-0 win at a much-improved Crystal Palace.
Mikel Arteta scored from the spot but was sent off, only for Olivier Giroud to settle the result with a second in the game's dying embers.
Everton's excellent League start continued with a 2-0 win at Aston Villa, aided by a Tim Howard penalty save from Christian Benteke in the opening 10 minutes.
Benteke was oversahdowed by compatriot Romelu Lukaku, who scored his sixth of the season to give Everton the lead. Leon Osman made sure it was five wins in nine for Roberto Martínez, propelling Everton up to third.
And finally, Cardiff drew at Norwich in a forgettable 0-0.