Virgil van Dijk enjoyed a dream debut for Liverpool by heading the winner in front of the Kop in the 230th Merseyside derby as they knocked Everton out of the FA Cup.
Son Heung-min and Pedro Obiang each scored a stunner as Tottenham were held by West Ham to a 1-1 draw at Wembley.
Hector Bellerin hit a stoppage-time equaliser as Arsenal held Chelsea to a 2-2 draw after an enthralling encounter at Emirates Stadium.
Kevin De Bruyne made a dramatic return to action as Manchester City eased back to winning ways with a convincing 3-1 victory over Watford.
Fernando Llorente returned to haunt former club Swansea and Dele Alli struck late on as Tottenham claimed a fifth win in six Premier League games on a rainy night in south Wales.
Andy Carroll's dramatic double lifted West Ham out of the relegation zone, as the Hammers were trailing fellow strugglers West Brom until two goals from their towering striker -- the second deep in stoppage time -- secured a 2-1 win.
Centre-back Ragnar Klavan was Liverpool's unlikely match-winner at Burnley as his close-range header in the fourth minute of added time made light of the absence of three of the 'Fab Four'.
Manchester United brought an end to a run of three successive draws as goals from Anthony Martial and Jesse Lingard secured a 2-0 victory over Everton at Goodison Park.
A classy volley from Riyad Mahrez inspired Leicester to a comfortable 3-0 home victory over Huddersfield.
Manchester City goalkeeper Ederson saved a 90th-minute penalty as Crystal Palace ended City's 18-game Premier League winning run in a dramatic 0-0 draw at Selhurst Park.
Arsene Wenger was denied victory in his 811th league game in charge of Arsenal as an 89th-minute penalty earned West Bromwich Albion a 1-1 draw at the Hawthorns.
Arsenal marked Arsene Wenger's record-equalling match as a Premier League manager by winning 3-2 at Crystal Palace.
Raheem Sterling fired Manchester City 15 points clear at the top of the Premier League table as they extended their winning run to 18 games at Newcastle.
Philippe Coutinho provided the style and compatriot Roberto Firmino the substance as Liverpool's brilliant Brazilians dispatched rudderless Swansea 5-0 in clinical fashion at Anfield.
Alvaro Morata returned from suspension to ignite Chelsea's 2-0 Premier League victory over Brighton at Stamford Bridge.
Jesse Lingard scored twice after coming on at half-time to help Manchester United salvage a 2-2 draw with Burnley at Old Trafford on Boxing Day.
Harry Kane smashed Alan Shearer's Premier League record for goals scored in a calendar year by hitting a hat trick in Tottenham's 5-2 mauling of Southampton.
Manchester United will spend Christmas an eye-watering 13 points behind runaway Premier League leaders Manchester City after Harry Maguire secured Leicester a draw with a last-gasp goal.
Harry Kane fired a hat trick to equal Alan Shearer's Premier League record of goals scored in a calendar year as Tottenham won 3-0 at Burnley.
Sergio Aguero took his tally of Etihad Stadium goals past 100 with a double as Premier League leaders Manchester City swept past Bournemouth 4-0.
Sam Allardyce's unbeaten run as Everton manager continued as Chelsea were held to a goalless draw at Goodison Park.
Liverpool fended off three goals in five minutes from Arsenal to salvage a 3-3 Premier League draw at the Emirates Stadium.
Bristol City sent Manchester United crashing out of the Carabao Cup after Korey Smith's stoppage-time strike secured a stunning 2-1 victory.
Alvaro Morata's stoppage-time strike sent Chelsea into the Carabao Cup semi-finals with a 2-1 defeat of Bournemouth.
Claudio Bravo was Manchester City's penalty hero as they kept their hopes of a dream quadruple alive to beat Leicester and reach the Carabao Cup semifinals.
Danny Welbeck scored the only goal of a forgettable game as Arsenal booked a place in the Carabao Cup semifinals at the expense of West Ham.
Liverpool had far too much attacking power for Bournemouth to withstand as they moved back into the top four with a 4-0 win at the Vitality Stadium.
Manchester United held on for a 2-1 win at West Bromwich Albion to cut neighbours Manchester City's lead at the top of the Premier League back to 11 points.
Leaders Manchester City powered to their 16th successive win in the Premier League with a 4-1 thrashing of Tottenham at the Etihad Stadium.
Arsenal returned to winning ways but had Mesut Ozil to thank for scoring a wonderful winner as they toiled against out-of-form Newcastle.
West Ham United beat Everton 3-1 at Goodison Park on Sunday to secure their first Premier League points of the season as Marco Silva tasted defeat for the first time as Everton manager.
Manchester United ruined Watford's first perfect start to a Premier League season with a 2-1 victory at Vicarage Road on Saturday.
Manchester City comfortably defeated Fulham 3-0 at the Etihad Stadium on Saturday to stay within two points of leaders Liverpool and Chelsea.
A free kick by midfielder Granit Xhaka and a goal by Mesut Ozil gave Arsenal a 2-1 win at Newcastle United despite a stuttering first-half performance on Saturday.
A hat trick from Eden Hazard gave Chelsea their fifth win in five games, a 4-1 victory over Cardiff City that sent them to the top of the Premier League on Saturday.
Liverpool continued their perfect start to the season after a goal in each half gave them a 2-1 victory over Tottenham Hotspur at Wembley Stadium on Saturday.
Watford came from behind with two set-piece goals to beat Tottenham Hotspur 2-1 at Vicarage Road on Sunday, ending the visitors' perfect start to the Premier League season while maintaining their own.
Manchester United fans showed their backing for manager Jose Mourinho after Romelu Lukaku struck twice as United returned to winning ways after two successive Premier League losses with a 2-0 victory at Burnley on Sunday.
Alexandre Lacazette scored his first goal of the season in his first start under Unai Emery, handing Arsenal a 3-2 victory away against Cardiff City.
Raheem Sterling and Kyle Walker each scored as Manchester City defeated Newcastle United 2-1 at the Etihad Stadium on Saturday.
Chelsea stretched their perfect Premier League start to four games after second-half goals from substitute Pedro and Eden Hazard gave them a 2-0 home win over Bournemouth on Saturday.
Sadio Mane and Roberto Firmino scored in the first half as Liverpool won their first four Premier League games for the first time with a 2-1 victory over Leicester City on Saturday at the King Power Stadium.
Liverpool will host Chelsea while Frank Lampard's Derby County will visit Manchester United following the third-round draw for the Carabao Cup held on Thursday.
Tottenham piled on more woe for Manchester United, running out 3-0 winners at Old Trafford on Monday night to hand the hosts a second Premier League defeat in as many weeks.
Chelsea left it late but came away with a 2-1 win over Newcastle thanks to a late DeAndre Yedlin own goal St James' Park on Sunday.
Unfancied Watford continued their great start to the Premier League season with a third successive win when they beat visiting Crystal Palace 2-1 on Sunday.
Mohamed Salah's 23rd-minute strike was enough to earn Liverpool a 1-0 win over a dogged Brighton and Hove Albion and give them an early top spot in the Premier League with three wins out of three.
Arsenal celebrated their first Premier League win of the season under new manager Unai Emery after coming from behind to beat London rivals West Ham United 3-1 in an action-packed match on Saturday.
Manchester City stumbled to a 1-1 draw at Wolves in a tense lunchtime encounter at Molineux.
Liverpool's James Milner's converted a penalty on the stroke of halftime and Sadio Mane added a late second goal to secure a hard-fought 2-0 win at Crystal Palace in the Premier League on Monday.
Manchester United conceded three first-half goals as they slumped to a 3-2 defeat at Brighton in a game illuminated by a superb goal from Seagulls striker Glenn Murray.
Sergio Aguero scored his 13th hat trick for Manchester City as the Premier League champions brushed Huddersfield aside in a 6-1 win at the Etihad Stadium.
Chelsea secured their second straight win of the season and sentenced Arsenal to a second defeat with a 3-2 win in a Stamford Bridge thriller that had seen Arsenal fight back from two goals down to level.
Leicester City had Jamie Vardy sent off but it did not stop them from recording a comfortable 2-0 home victory over Wolverhampton Wanderers in the Premier League on Saturday.
Harry Kane finally ended his August goalscoring drought as England's World Cup luminaries inspired Tottenham Hotspur to a morale-boosting 3-1 Premier League win over newcomers Fulham on Saturday.
Kenedy missed a 96th-minute penalty as Cardiff secured a 0-0 draw against 10-man Newcastle in their first home game back in the Premier League.
Manchester City midfielder Kevin De Bruyne is facing a spell on the sidelines after injuring his right knee in training on Wednesday.
Manchester City, who romped to Premier League success by 19 points last season, began the defence of their title with a 2-0 win away against Arsenal and new manager Unai Emery on Sunday.
Sadio Mane had two goals for the first time since February 2017 and Mohamed Salah also scored as Liverpool opened their Premier League season with a 4-0 victory over West Ham United at Anfield.
Richarlison scored twice in his first Premier League appearance for 10-man Everton, but a late goal from Raul Jimenez helped Wolverhampton Wanderers salvage a 2-2 draw at the Molineux Stadium.