Chelsea recorded their first win under new manager Guus Hiddink as the Blues' resurgence under their new boss continued with a 3-0 win at Crystal Palace.
Manchester City rescued their Premier League title hopes with a late comeback in a 2-1 victory at Watford.
Arsenal laboured to victory over Newcastle to start 2016 with a win and move two points clear at the top of the Premier League.
Wayne Rooney scored a superb backheel to ease the pressure on Louis van Gaal and end Manchester United's eight-match winless run.
Liverpool reject Andy Carroll ended the Reds' recent revival as West Ham secured a deserved 2-0 win at Upton Park.
Leicester lost ground at the top of the Premier League as they began the new year with a goalless draw against 10-man Bournemouth at the King Power Stadium, with Riyad Mahrez missing from the penalty spot.
Another Mesut Ozil masterclass inspired Arsenal to a 2-0 victory over Bournemouth on Monday night and guided them to the top of the Premier League in the process.
Tottenham substitute Son Heung-min broke Watford's hearts with an injury-time winner as Spurs snatched a 2-1 win against the 10-man Hornets.
Marko Arnautovic notched a dramatic late winner from the penalty spot as Stoke beat Everton 4-3 in a thriller at Goodison Park.
Manchester United put on an improved, largely entertaining display, but they could not deliver a win against Chelsea to ease the pressure on manager Louis van Gaal.
Arsenal could have gone top of the league at Southampton but return home reeling from an embarrassing 4-0 defeat, with Cuco Martina's extraordinary half-volley inspiring another unlikely result in this topsy-turvy campaign.
Three goals in 11 first-half minutes helped Manchester City sweep aside Sunderland 4-1 at the Etihad but captain Vincent Kompany's return from injury lasted only nine minutes to take the gloss of the victory.
Liverpool striker Christian Benteke's first goal since the end of October inflicted Leicester's first defeat in three months to open up a crack in their armour, 1-0 at Anfield.
Oscar slipped to send a penalty over the crossbar and blow a vital Chelsea victory against Watford in interim manager Guus Hiddink's first match in charge.
Harry Kane became Tottenham's highest league scorer in a calendar year as his first-half double fired Spurs to a 3-0 victory over struggling Norwich.
The pressure increased on Louis van Gaal after Manchester United were beaten 2-0 at Stoke.
Arsenal sealed their supporting role behind Leicester in the Premier League Christmas billing by beating fellow title hopefuls Manchester City 2-1 at the Emirates Stadium on Monday night.
Odion Ighalo scored a brace to help earn Watford an impressive 3-0 victory over Liverpool as the visitors' stand-in goalkeeper Adam Bogdan suffered a nightmare display at Vicarage Road on Sunday.
Manchester United boss Louis van Gaal faced the ire of fans as Norwich increased the under-fire Dutchman's woes with a 2-1 Premier League win at Old Trafford.
Jose Mourinho may have gone but he was far from forgotten as Chelsea marked the end of an era with a 3-1 win over Sunderland.
Leicester's unlikely Premier League title challenge is more of a reality than ever as a 3-2 victory at Everton ensured they will be top at Christmas.
Harry Kane's superb solo goal helped Tottenham climb into the Premier League top four for the first time this season as Mauricio Pochettino celebrated a 2-0 win over his former club Southampton.
Chelsea have confirmed Guus Hiddink as their new manager until the end of the season following the departure of Jose Mourinho.
Chelsea manager Jose Mourinho has left the club "by mutual consent" after the defending Premier League champions suffered their ninth defeat of the season, the club announced on Thursday.
Leicester returned to the top of the Premier League with a 2-1 victory on Monday night as Chelsea's desperate defence of their crown continued.
Striker Divock Origi's added-time strike snatched a point for Liverpool in a controversial 2-2 draw at Anfield.
Arsenal sent out a title warning as they moved top of the Premier League after clinically dispatching a sinking Aston Villa.
Bournemouth picked up a second prized Premier League win in a week as they beat Manchester United at the Vitality Stadium.
Manchester City claimed an injury-time winner to snatch a dramatic 2-1 success over managerless Swansea in a frantic finish at the Etihad Stadium.
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.