Adnan Januzaj starred for Manchester United, relieving the pressure on manager David Moyes as his two goals clinched a 2-1 comeback victory at Sunderland.
Januzaj's first start under Moyes began badly when Craig Gardner handed the Black Cats an early lead at the Stadium of Light, capitalising on a heavy touch from Nemanja Vidic.
But after the interval, the 18-year-old Belgian restored parity as he lashed home following a cross from Patrice Evra.
And Januzaj, who was booked in the second half for diving, completed the turnaround with a wicked volley that flew into the far corner, ensuring United bounced back from their loss at home to West Brom last weekend.
Luis Suarez marked his return to Anfield from his lengthy ban by inspiring Liverpool to a 3-1 win over Crystal Palace to send them to the top of the Premier League.
The Uruguayan brought his new-born baby out onto the pitch before kick-off, and gave Liverpool the lead in the 13th minute with an improvised finish after playing a great one-two with Jose Enrique.
Daniel Sturridge then doubled the lead just four minutes later thanks to a wonderful solo effort. Captain Steven Gerrard added a third before half-time from the penalty spot to score for the Merseyside outfit for the 15th consecutive season.
Dwight Gayle scored a consolation for the away side 14 minutes from time.
Manchester City ended Everton's unbeaten record in the Premier League to finish a difficult week on a high.
Defeats by Aston Villa and Bayern Munich had made this a very important game for City and under-pressure goalkeeper Joe Hart, and they responded in style with a 3-1 win at the Etihad Stadium.
Romelu Lukaku put Everton ahead in the 16th minute but Alvaro Negredo equalised a minute later and Sergio Aguero struck to give the hosts the lead just before half-time.
Tim Howard then diverted in a third in the 69th minute after initially saving Aguero's penalty. The victory was only City's third in 13 attempts against Everton, who tasted defeat for the first time in the league under Roberto Martinez.
Newcastle United bounced back from successive Premier League defeats after a Loic Remy double spurred them to a 2-1 victory away to Cardiff.
David Marshall produced two stunning saves to keep the home side in it early on, first tipping Moussa Sissoko's long-range effort over the bar before somehow denying Loic Remy from close range.
However, Marshall was powerless to prevent Remy's fourth goal in as many games on the half hour mark; after picking up the ball 40 yards out the Newcastle striker cut inside and blasted into the bottom corner for the opening goal.
Remy doubled his tally and Newcastle's lead just eight minutes later. Yohan Cabaye brilliantly split the home defence with his pass and after Papiss Cisse's initial effort was parried by Marshall, Remy was on hand to tuck the rebound away.
Cardiff brought on last week's match-winner Jordon Mutch in a bid to turn things around in the second half, but Newcastle showed no sign of easing off as Marshall was again called into action to keep out Cabaye's shot.
However, Mutch provided the creativity Cardiff had lacked in the first half and his pass through to Peter Odemwingie was coolly converted by the striker just shy of the hour mark to completely change the atmosphere in South Wales.
Newcastle continued to weather the storm as Krul denied Mutch before Mike Williamson almost converted into his own net, but Alan Pardew's side held on to claim the points.
Fulham left it late to inflict a miserable return to Craven Cottage for Mark Hughes as Darren Bent's goal was enough to see off Stoke City 1-0.
Fulham could count themselves a little fortunate to still have 11 men on the field early in the first half after Pajtim Kasami appeared to slap Erik Pieters on the back of the head, but referee Roger East chose not to give out any punishment.
Stephen Ireland saw his penalty shout turned down when tumbling under the challenge of Philippe Senderos, but Stoke were again going potty at East minutes later after Jon Walters was hauled down inside the penalty area by Fernando Amorebieta -- again, their shouts were dismissed. Robert Huth then saw his header cleared off the line as the away side dominated in West London.
East made it a quartet of unsuccessful penalty shouts shortly before half-time, although this time it was the Fulham players left up in arms twice in quick succession; first Robert Huth was deemed not to have handled in the area before Bryan Ruiz was seemingly tripped by Marc Wilson, only for play to be waved on.
Darren Bent replaced the injured Dimitar Berbatov midway through an otherwise quiet second half, and it was the replacement who found the opener inside the last ten minutes when rounding Huth and Asmir Begovic to slide the ball in the net and ease the pressure on Martin Jol.
Hull City and Aston Villa played out a goalless draw at the KC Stadium in a game limited to few clear-cut chances.
Stephen Quinn almost put Hull ahead but could not convert from a cross, before Gabriel Agbonlahor saw his left-footed effort tipped around the post by Allan McGregor after brilliantly edging past two City defenders.
Villa were clearly lacking the attacking threat of Christian Benteke as neither side looked like breaking the deadlock in a turgid, pedestrian first half.
But Paul Lambert's men almost found the opener shortly after the interval with a bursting counter-attack. Andreas Weimann ran free before pulling the ball back for Agbonlahor, whose powerful effort flew past the wrong side of the post.
Ahmed Elmohamady should have put Hull ahead when running onto a cross, but could only drag his shot wide of the post as the game petered out into a frustrating afternoon for both sides.