John Terry scored a 98th-minute equaliser as fallen Premier League champions Chelsea avoided another chastening defeat in a 3-3 draw with Everton.
Substitute Joe Allen was Liverpool's unexpected saviour with an added-time equaliser - just when Arsenal appeared to have sent a significant message in the title race.
Raheem Sterling was denied a late penalty as Manchester City were held to a goalless draw by Everton at the Etihad Stadium.
Chelsea's search for successive Barclays Premier League wins this season goes on after James McClean's late strike earned West Brom a 2-2 draw at Stamford Bridge.
Robert Huth's late header proved enough for Leicester to beat Tottenham at White Hart Lane and draw level on points with Premier League leaders Arsenal.
Unlikely hero Paul Dummett snatched a precious point for relegation-threatened Newcastle as Manchester United twice squandered the lead to draw 3-3 at St James' Park.
Harry Kane came off the bench to rescue Tottenham and keep their FA Cup hopes alive as his late penalty earned them a replay against Leicester in a 2-2 draw at White Hart Lane.
Teenage midfielder Ruben Loftus-Cheek's first senior goal settled a niggly FA Cup third round tie as Chelsea ground past Scunthorpe 2-0 at Stamford Bridge.
Sergio Aguero scored one and set up another as Manchester City cruised into the FA Cup fourth round with a 3-0 win over Norwich.
FA Cup holders Arsenal came from behind to beat a much-changed Sunderland side in their third-round meeting at the Emirates Stadium on Saturday.
Wayne Rooney scored an injury time penalty against Sheffield United to spare Louis van Gaal's blushes and send Manchester United through to the fourth round of the FA Cup by the finest of margins.
Jurgen Klopp survived his first taste of the FA Cup as his Liverpool youngsters fought back twice to salvage a 2-2 draw at Exeter.
In-form Romelu Lukaku's 12th goal in as many matches gave Everton a deserved 2-1 victory over lacklustre Manchester City in their Capital One Cup semi-final first leg at Goodison Park.
Tottenham claimed a point thanks to Dele Alli's volley but may well feel unfortunate not to have taken three as they drew 1-1 with Everton at Goodison Park.
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.
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.