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.
Time was on Chelsea's side as Marcos Alonso's free-kick earned a 1-0 Premier League win over Southampton.
Manchester City's quadruple trophy bid was sensationally derailed by a shocking 1-0 defeat at third-division Wigan in the FA Cup fifth round on Monday.
Substitute Steve Davies earned Rochdale an FA Cup fifth-round replay at Wembley Stadium with his remarkable stoppage-time equaliser against Tottenham Hotspur at Spotland.
Manchester United overcame the video assistant referee's controversial intervention and reached the FA Cup quarterfinals thanks to Romelu Lukaku's brace at Huddersfield.
Willian dispatched two inch-perfect finishes as Chelsea cruised past Hull 4-0 and into the FA Cup quarter-finals.
Sheffield Wednesday fan Jamie Vardy put the Blades to the sword as Leicester knocked Sheffield United out of the FA Cup.
Chelsea eased the growing pressure on Antonio Conte and returned to the Premier League's top four with a convincing 3-0 win over West Brom.
Liverpool moved back above Tottenham and into third place in the Premier League table as two first-half goals gave them a routine 2-0 victory at struggling Southampton.
Matt Ritchie scored a second-half winner for Newcastle as they lifted themselves out of the relegation places with a 1-0 victory over Manchester United at St James' Park.
Sergio Aguero scored four times as Manchester City extended their Premier League lead to 16 points with a 5-1 demolition of Leicester at the Etihad Stadium.
Everton's Sam Allardyce won the battle of ex-England managers at Goodison Park to ease growing pressure with a 3-1 victory over Roy Hodgson's struggling Crystal Palace.
Harry Kane proved Arsenal's nemesis again as his bullet header earned Tottenham a deserved 1-0 victory in the North London derby.
Erik Lamela scored his first goal in 17 months as Tottenham sauntered past Newport and into the fifth round of the FA Cup.
Swansea recorded their biggest-ever FA Cup win as Notts County were demolished 8-1 at the Liberty Stadium.
Antonio Conte's future as Chelsea boss was cast into further doubt as his 10 men were thrashed 4-1 by Watford on Monday night.
Mohamed Salah and Harry Kane traded stoppage-time goals as Liverpool and Tottenham drew 2-2 in a wild affair at Anfield on Sunday.
Newcastle resisted intense pressure from Crystal Palace to earn a 1-1 draw at Selhurst Park that again took them clear of the bottom three.
`Aaron Ramsey hit a hat trick with Arsenal fans treated to their first showing of their January transfers in tandem as both Henrikh Mkhitaryan and Pierre-Emerick Aubameyang shone in a comfortable 5-1 win over Everton.
Alexis Sanchez's first goal for Manchester United wrapped up a 2-0 victory against Huddersfield on a day when the clubs came together to remember those who lost their lives in the Munich air disaster.
Swansea's resurgence continued as they climbed out of the Premier League relegation zone with a 1-1 draw at Leicester, who were again without want-away midfielder Riyad Mahrez.
Johann Berg Gudmundsson struck a late equaliser as Burnley grabbed a 1-1 draw against Premier League leaders Manchester City at Turf Moor.
Christian Eriksen scored within 11 seconds as Tottenham brushed aside a below-par Manchester United to seal a crunch 2-0 victory in the race for the top four.
Kevin De Bruyne was again the inspiration as Manchester City opened up a 15-point lead at the top of the Premier League with a 3-0 win over West Brom.
Theo Walcott's maiden Everton goals secured a first win in eight matches as a 2-1 triumph over Leicester arrested their slide under Sam Allardyce.
Bournemouth scored three goals in 16 remarkable second-half minutes to record a sensational 3-0 victory against Chelsea at Stamford Bridge on Wednesday evening.
Arsenal have completed the signing of striker Pierre-Emerick Aubameyang from Borussia Dortmund for a fee of €63.75 million (£56m).
Chelsea have completed the signing of Olivier Giroud from Arsenal for a reported £16.25 million on an 18-month contract.
Tottenham Hotspur have completed the signing of winger Lucas Moura from Paris Saint-Germain for a fee of в‚¬28 million.
Liverpool bounced back to winning ways in the Premier League and maintained their Champions League challenge with a 3-0 win at Huddersfield.
Swansea climbed out of the relegation zone for the first time in three months as Petr Cech's dreadful howler helped condemn Arsenal to a 3-1 defeat at the Liberty Stadium.
Two first-half goals were enough to see Manchester City comfortably through to the FA Cup fifth round at Championship side Cardiff City.