Everton jumped into the top four of the Premier League by thrashing Stoke 4-0 on Merseyside.
Gerard Deulofeu, Seamus Coleman, Bryan Oviedo and Romelu Lukaku all scored to subdue Mark Hughes' side.
Chelsea loan striker Lukaku's late finish was his eighth league goal of the season, on his ninth appearance.
Everton stole a 1-0 lead late in the first half thanks to Deulofeu's finish.
The Barcelona loan man played a one-two with Steven Pienaar, Gareth Barry tapped the back to him, and he fired in at the near post.
West Ham scored two late goals to ease past Fulham 3-0 at Upton Park, to move out of the relegation zone.
Mohamed Diame's heavily-deflected strike poached a 1-0 lead for West Ham just after the interval.
Steve Sidwell argued play should have been stopped with Fulham team-mate Scott Parker down injured.
Diame strode forward undeterred though, and registered the opening goal, by way of that deflection detour.
Substitute Ravel Morrison fired wide in the final 10 minutes amid tense exchanges.
But just as West Ham's frustrations grew, replacement Carlton Cole finished with his first touch, sweeping Stewart Downing's low cross home.
That was Cole's seventh goal in his last six appearances against Fulham.
And with time running out, substitute Joe Cole provided a finish to secure the points, and allow the Hammers to breathe that bit easier.
Norwich were able to cling onto a 1-0 advantage to see off spirited Crystal Palace who were aiming to rally for new boss Tony Pulis.
Gary Hooper's first-half finish from close range after good work from Nathan Redmond and Wes Hoolahan proved decisive, despite strong pressure from the visitors to Carrow Road.
Martin Olsson cleared Barry Bannan's goal-bound shot off the line as Norwich held out.
Sunderland had the ball in the back of the net against Aston Villa in the first half when former Villa midfielder Craig Gardner produced a smart finish.
But that effort was ruled out for offside, and neither team could break the deadlock.
Sunderland's Emanuele Giaccherini blazed over the bar from two yards out, and the game remained without a goal for the duration.
