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.
Michy Batshuayi scored twice as Chelsea marched on in the FA Cup with a 3-0 win over Newcastle at Stamford Bridge.
Liverpool were dumped out of the FA Cup by West Brom in a match littered with Video Assistant Referee referrals which caused confusion on the pitch and in the stands.
Harry Kane rescued Spurs from a shock FA Cup defeat when his 82nd-minute equaliser earned them a 1-1 draw at League Two Newport County, meaning the sides replay at Wembley next month.
Leicester eased through to the fifth round of the FA Cup with a comfortable 5-1 victory over Peterborough at London Road.
Debutant Alexis Sanchez helped steer Manchester United into the FA Cup fifth round with two assists as Jose Mourinho's men eased past Yeovil 4-0.
Pedro's extra-time header saw Chelsea advance to the FA Cup semifinals at the expense of Leicester City.
Southampton are through to the FA Cup semi-finals for the first time in 15 years after a 2-0 victory over Wigan in Mark Hughes' first game in charge.
Manchester United were unable to match the intensity shown during Jose Mourinho's extraordinary pre-match press conference, but headers from Romelu Lukaku and Nemanja Matic saw them through to the FA Cup semi-finals at Brighton's expense.
Mohamed Salah's record-setting season shows no signs of slowing down as four goals in the 5-0 victory over Watford put him in pole position for the Premier League Golden Boot.
Tottenham Hotspur strolled into the semifinals of the FA Cup with a Christian Eriksen-inspired 3-0 victory over Swansea City.
David Silva struck twice as Manchester City took another stride towards their seemingly inevitable coronation as Premier League champions with a 2-0 victory at Stoke.
Tottenham Hotspur bounced back from their Champions League defeat to Juventus with a 4-1 win at Bournemouth in a game overshadowed by injury to Harry Kane.
Arsenal strolled to a much-needed win as Shkodran Mustafi, Pierre-Emerick Aubameyang and Henrikh Mkhitaryan saw off Watford 3-0 at the Emirates Stadium and Petr Cech kept his 200th Premier League clean sheet.
Two first-half goals gave Chelsea a 2-1 home victory over a Crystal Palace side whose relegation worries increase.
Everton registered a third successive victory at Goodison Park by beating Brighton 2-0.
Two goals from Marcus Rashford gave Manchester United a crucial 2-1 victory over Liverpool at Old Trafford, putting them five points clear of their rivals in second place in the Premier League.
Nemanja Matic struck in stoppage time as Manchester United came from two goals down to secure a vital 3-2 victory at Crystal Palace.
Bernardo Silva scored the only goal as Manchester City took another stride towards the Premier League title with a 1-0 victory over Chelsea.
Arsene Wenger remains under intense pressure as Arsenal were deservedly beaten 2-1 by Brighton & Hove Albion at the Amex Stadium on Sunday.
Tottenham warmed up for their Champions League tie with Juventus by easing to a 2-0 victory over Huddersfield at Wembley.
Mohamed Salah scored for the seventh successive match to continue a remarkable scoring spree that is the best in Europe as Liverpool comfortably beat Newcastle United 2-0.
Manchester City inflicted more pain on Arsene Wenger with a second crushing 3-0 victory over his Arsenal side in the space of four days.
Tottenham overcame Rochdale 6-1 in the FA Cup but video technology reduced the fifth-round replay at Wembley to a farce.
Swansea reached their first FA Cup quarterfinal since 1964 with a 2-0 home victory over Sheffield Wednesday.
Manchester City breezed past woeful Arsenal 3-0 to lift the Carabo Cup, Pep Guardiola's first trophy in English football, at Wembley.
Tottenham Hotspur grabbed an 89th-minute winner against Crystal Palace to move into fourth place after a determined home side had seemed set for a battling draw at Selhurst Park.
Substitute Jesse Lingard headed the winner as Manchester United came from a goal down to beat Chelsea 2-1 at Old Trafford and move back into second place in the Premier League.
Watford moved up to 10th in the table as Troy Deeney's late goal gave them a valuable 1-0 victory over Everton at Vicarage Road.
Liverpool took their goal tally for the season to 103 as they claimed second place in the Premier League with a comfortable 4-1 win over West Ham.
Stoke remain in the relegation zone after an error from goalkeeper Jack Butland meant they had to settle for a 1-1 draw at Leicester.
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.