Branislav Ivanovic's rocket gave Chelsea a crucial 2-1 win at Aston Villa - despite the hosts ending their 11-hour goal drought.
Substitute James Milner struck a superb injury-time free-kick as lacklustre champions Manchester City rescued a point with a 1-1 draw against Hull.
Harry Kane inspired boyhood club Tottenham to victory over Arsenal in a wonderfully frantic and frenetic north London derby.
Philippe Coutinho celebrated his new five-year contract with an added-time winner as Liverpool kept their FA Cup hopes alive in a dramatic late turnaround at Bolton.
Manchester United overcame Cambridge United in their FA Cup replay on Tuesday, winning 3-0 less than two weeks after a humbling 0-0 draw.
Juan Cuadrado has completed his move from Fiorentina to Chelsea for a total fee of 35 million euros, including bonuses, although Italy's prime minister Matteo Renzi does not approve of the transfer.
Arsenal closed the gap on the top four of the Premier League as they romped to a 5-0 win over Aston Villa, whose goal drought continued at the Emirates Stadium.
Under-siege Chelsea retained a five-point lead at the top of the Premier League after repelling Manchester City at Stamford Bridge.
Striker Daniel Sturridge enjoyed the perfect return from injury as he scored within 12 minutes of coming off the bench to give Liverpool's Champions League ambitions a timely boost.
Robin van Persie ended his dry spell with a spectacular finish that propelled Manchester United to a comfortable 3-1 win over Leicester.
Tottenham's Harry Kane further enhanced his growing reputation with two goals in a convincing 3-0 win over West Brom in the Premier League.
Christian Eriksen struck after 88 minutes as Tottenham killed off a stunning Che Adams-inspired Sheffield United comeback to reach the Capital One Cup final with a 3-2 aggregate win.
Branislav Ivanovic kept his head as Chelsea edged a frenetic, ill-tempered clash with Liverpool to advance to the Capital One Cup final.
Arsenal held firm to see off Championship side Brighton & Hove Albion and book their place in the fifth round of the FA Cup.
Liverpool avoided an FA Cup upset at home to Bolton but even on a day of shocks it was not much of an achievement after a toothless display against Championship opponents Bolton.
Leicester came from behind to net a stoppage-time winner from Jeff Schlupp which beat Tottenham 2-1 in the fourth round of the FA Cup at White Hart Lane.
Bradford brilliantly responded from two goals down to win 4-2 at Chelsea and dump the Premier League leaders out of the FA Cup at Stamford Bridge.
Chelsea loanee Patrick Bamford and Kike struck in the second half as Championship side Middlesbrough produced a shock 2-0 win over Premier League champions Manchester City in the FA Cup.
League Two Cambridge earned a FA Cup fourth-round replay at Old Trafford after Louis van Gaal and his Manchester United side endured an uncomfortable Friday evening at the Abbey Stadium.
Chelsea manager Jose Mourinho still has not won a semifinal against Liverpool after Raheem Sterling's flash of brilliance earned the Reds a deserved 1-1 draw.
Santi Cazorla and Olivier Giroud struck in each half as Arsenal stunned lacklustre champions Manchester City 2-0 at the Etihad Stadium.
Jermain Defoe was unable to continue his remarkable run of marking club debuts with a goal as Sunderland suffered a last-gasp defeat at former club Tottenham.
Chelsea sent out an emphatic Premier League title warning as Jose Mourinho's side stunned Swansea by winning 5-0 at the Liberty Stadium.
Fabio Borini scored his first Liverpool goal in almost two years as they comfortably despatched Aston Villa 2-0 in the Premier League.
Manchester United laboured to a third away league win of the season as they saw off QPR to strengthen the case any potential insider has on ousting manager Harry Redknapp.
Tottenham survived leaking two early goals to ease past Burnley 4-2 at White Hart Lane and into the fourth round of the FA Cup.
Goalkeeper Adrian was the unlikely match-winner for West Ham as the Spaniard scored the deciding penalty after the Hammers and 10-man Everton had battled tooth and nail for a place in the FA Cup fourth round.
Ronald Koeman gained revenge on his old adversary Louis van Gaal as Southampton recorded their first win at Manchester United for 27 years.
Alexis Sanchez scored another breathtaking goal as Arsenal closed back up on the top four of the Premier League with a 3-0 win over Stoke at the Emirates Stadium, where goalkeeper Wojciech Szczesny had been left on the bench.
Alan Pardew enjoyed a fairytale return to Selhurst Park, overseeing a spirited comeback against Tottenham as Crystal Palace secured a first Premier League win since November.
Arsenal have hired former Paris Saint-Germain manager Unai Emery to take them into a new era following Arsene Wenger's departure, with sources telling that he has signed a three-year contract.
Eden Hazard fired Chelsea to FA Cup glory against Manchester United as Antonio Conte's expected farewell ended with a memorable triumph against old foe Jose Mourinho.
Michael Carrick bade farewell to Old Trafford by helping set up the goal that delivered a 1-0 win for Manchester United over Watford.
Champions Manchester City became the first club to amass 100 Premier League points after Gabriel Jesus scored a dramatic stoppage-time winner at Southampton.
Tottenham said goodbye to Wembley in style as they came from behind to beat Leicester 5-4 in a thrilling final-day Premier League encounter.
Ayoze Perez struck twice to end Chelsea's faint hopes of Champions League qualification as Newcastle secured a top-10 finish on their return to the Premier League.
Liverpool secured a top-four spot with very little fuss as Mohamed Salah's new Premier League goalscoring record paved the way for a 4-0 victory over Brighton.
Arsene Wenger bowed out with a victory as Pierre-Emerick Aubameyang's first-half goal secured a 1-0 win for Arsenal in their season finale against Huddersfield.
West Ham and Manchester United played out a dull goalless draw at the London Stadium -- although the result was enough to see Jose Mourinho's side secure second place in the Premier League.
Yaya Toure bade farewell to the Etihad Stadium as champions Manchester City set a hat trick of Premier League records in a routine 3-1 win over Brighton.
Jamie Vardy returned to haunt Arsene Wenger on his farewell tour as Leicester cruised past 10-man Arsenal 3-1.
Tottenham overcame a nervy night at Wembley to book their Champions League place for next season with a 1-0 win over Newcastle.
Huddersfield secured their Premier League status with a valiant 1-1 draw at Stamford Bridge which significantly dented Chelsea's slim top-four hopes.
Southampton took a huge step towards safety as a 1-0 win at Swansea inched their Welsh rivals towards the Premier League trapdoor and relegated West Brom in the process.
Arsenal gave Arsene Wenger a memorable Emirates Stadium send-off as the outgoing boss saw his side thrash Burnley.
Chelsea's Champions League hopes for next season received a boost following Sunday's narrow victory over Liverpool.
Manchester City failed to fire on the day they were presented with the Premier League trophy as Huddersfield Town claimed a vital point at the Etihad Stadium.
Tom Davies scored deep into added time as Everton salvaged a 1-1 draw against 10-man Southampton at Goodison Park, preventing their opponents from escaping the Premier League relegation zone.
West Bromwich Albion kept their slim survival hopes alive after Jake Livemore's dramatic injury time goal earned a 1-0 win against Tottenham Hotspur.
Pascal Gross scored the goal which sank Manchester United 1-0 to guarantee Premier League football for Brighton next season.
Harry Kane did his talking on the pitch as Tottenham reasserted themselves in the race for the Champions League with a 2-0 win over Watford.
Arsene Wenger was denied a point on his last visit to Old Trafford as Arsenal manager when Marouane Fellaini's injury-time header snatched victory for Manchester United.
Manchester City surpassed 100 Premier League goals for the season and left West Ham waiting to confirm top flight football next season with a 4-1 win at the London Stadium.
Chelsea's chase for a top-four Premier League spot gathered pace as Cesc Fabregas scored a landmark goal to deepen Swansea's relegation concerns.
Premier League leading scorer Mohamed Salah had a rare off day as Liverpool continue to stumble towards guaranteeing a top-four finish after a goalless draw at home to Stoke.
Manchester City celebrated their title success in style with a resounding 5-0 win over Swansea at the Etihad Stadium.
Olivier Giroud proved the scourge of Southampton once again, setting Chelsea on course for FA Cup semifinal success and a mouth-watering clash with Manchester United.
A late flurry of goals saw Arsenal secure a 4-1 win over West Ham in their first game since Arsene Wenger revealed he is stepping down as boss.
Ander Herrera has Manchester United dreaming of FA Cup glory after Tottenham Hotspur again suffered semifinal sorrow.
A late strike from Salomon Rondon helped bottom-of-the-table West Bromwich Albion come from behind to draw 2-2 against Liverpool on Saturday at The Hawthorns.