Sergio Aguero saved Manchester City further embarrassment with a double in Saturday's 2-2 Premier League draw at QPR.
Juan Mata stepped off the bench to score the winner as Manchester United returned to winning ways despite a lacklustre display against Crystal Palace.
Diego Costa's 10th goal of the season maintained Premier League leaders Chelsea's unbeaten record and inflicted yet more pain on Liverpool at Anfield.
Harry Kane hit a late winner as Tottenham clinched a 2-1 victory in a bad-tempered clash with 10-man Aston Villa.
Sergio Aguero scored the only goal of the game as Manchester City beat United in the derby.
An Oscar special and an Eden Hazard penalty earned Premier League leaders Chelsea a 2-1 win in a hard-fought west London derby with QPR at Stamford Bridge.
Alexis Sanchez scored twice as Arsenal moved back into the top four of the Barclays Premier League with a 3-0 victory over stubborn Burnley at the Emirates Stadium.
Ayoze Perez was Newcastle's match-winner for the second time in a week as they edged past Liverpool to claim a fourth successive victory.
Rolando Aarons and substitute Moussa Sissoko struck as Newcastle dumped holders Manchester City out of the Capital One Cup with a 2-0 win at the Etihad Stadium.
Dejan Lovren scored a dramatic 95th-minute winner as Liverpool came from behind late on to beat 10-man Swansea 2-1 at Anfield and advance to the Capital One Cup quarter-finals.
Jermaine Grandison's own goal broke Shrewsbury's hearts after Chelsea survived a scare to snatch a late 2-1 win.
Manchester United striker Robin van Persie scored a 94th minute equaliser to deny Jose Mourinho victory over his old boss Louis van Gaal at Old Trafford.
Alexis Sanchez made the most of howlers from Wes Brown and Vito Mannone as Arsenal claimed a 2-0 victory at Sunderland.
Mario Balotelli and Liverpool fired blanks as Hull held on for a goalless Premier League draw at Anfield.
Diafra Sakho's sixth goal in as many Premier League starts gave West Ham a 2-1 victory over champions Manchester City at Upton Park.
Louis van Gaal is still searching for a first away win as Manchester United manager as his side were held by West Brom in a pulsating 2-2 draw on Monday.
Steven Caulker's own goal condemned QPR to a crushing 3-2 defeat at home to Liverpool, rooting Harry Redknapp's men to the foot of the Premier League table.
Danny Welbeck netted a stoppage-time equaliser as injury-hit Arsenal fought back to draw 2-2 against Hull at Emirates Stadium.
Ronald Koeman well and truly disproved the manager of the month hoodoo as his Southampton side decimated a woeful Sunderland outfit 8-0.
Oscar and Cesc Fabregas scored sublime goals as Premier League leaders Chelsea overcame troublesome obstacles in winning a fiery derby with Crystal Palace 2-1 at Selhurst Park.
Sergio Aguero delivered the performance Mauricio Pochettino feared as he fired all four goals in Manchester City's dramatic 4-1 win over 10-man Tottenham.
Mauricio Pochettino got the better of Southampton successor Ronald Koeman as Tottenham ended their four-match wait for a Premier League win.
Arsenal manager Arsene Wenger shoved Jose Mourinho as their long-running feud turned physical in a 2-0 win which saw Chelsea take a five-point lead at the top of the Premier League.
Radamel Falcao scored his first goal in English football as Manchester United recorded back-to-back victories for the first time under Louis van Gaal.
Striker Mario Balotelli's demotion to the bench coincided with Liverpool's first win in four Premier Lague matches, but other factors contributed to the 2-1 victory over West Brom.
Yaya Toure sent a message to his critics as he and Sergio Aguero struck late to secure a 2-0 win for Manchester City at Aston Villa.
Arsenal and Tottenham battled out a 1-1 draw in Saturday's Premier League north London derby at the Emirates Stadium.
Edin Dzeko's wonderful double and Frank Lampard's fourth goal in three games sealed a 4-2 victory for Manchester City despite the champions at one stage surrendering a two-goal lead over Hull.
Diego Costa continued his remarkable start to life in the Premier League as Jose Mourinho celebrated his 250th match as Chelsea boss with a 3-0 defeat of Aston Villa.
Wayne Rooney's reckless dismissal did not stop Manchester United from returning to winning ways as they edged past West Ham 2-1 on a nervy afternoon at Old Trafford.
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.
Arsenal lost further ground on the Premier League leaders after they were held to a goalless draw at West Ham.
Tottenham climbed back into the Premier League's top four as Serge Aurier's fluke-goal and a header from Son Heung-min sealed a 2-0 victory over Brighton.
Liverpool manager Jurgen Klopp reunited the "Fab Four" but his prolific attacking quartet were all distinctly off-key as West Brom held out for a goalless draw at Anfield.
Manchester City set a new Premier League record of 15 consecutive wins with a 4-0 victory at bottom club Swansea.
Romelu Lukaku got a much-needed goal as Manchester United moved on from their galling derby defeat by beating Bournemouth.
Willian scored one and made two others as Chelsea finally turned in a display worthy of Premier League champions to win 3-1 at Huddersfield.
Runaway Premier League leaders Manchester City opened up an eye-watering double-digit lead over rivals Manchester United after Nicolas Otamendi fired Pep Guardiola's men to derby victory.
Wayne Rooney's first Merseyside derby goal earned Everton a 1-1 draw at Anfield as Liverpool manager Jurgen Klopp's selection gamble backfired.
Olivier Giroud climbed off the bench to rescue a point for Arsenal in a 1-1 draw at Southampton.
Ayoze Perez's late own goal cost Newcastle a precious Premier League draw as Leicester ruined the Magpies' 125th birthday celebrations.
Tottenham ended a four-match Premier League winless streak in style with Harry Kane scoring a brace as they thrashed Stoke 5-1 at Wembley.
Marko Arnautovic's first West Ham goal secured a 1-0 victory over Chelsea and a first win for manager David Moyes.
Manchester City left it late for the third game in a row as they beat West Ham United 2-1 at the Etihad Stadium thanks to David Silva's strike and extended their Premier League lead.
Bournemouth and Southampton shared the spoils as an entertaining match on the south coast finished in a 1-1 draw.
Jesse Lingard scored twice but Paul Pogba was sent off as Manchester United beat Arsenal 3-1 in a breathless match at the Emirates Stadium.
Talk of Burnley qualifying for Europe was dealt a sobering blow with defeat at improving Leicester.
Gylfi Sigurdsson and Dominic Calvert-Lewin scored second-half goals as Sam Allardyce's first game in charge of Everton ended in a 2-0 home win over Huddersfield.
Davinson Sanchez's red card forced Tottenham to fight for a 1-1 draw at Watford, toughening their battle to climb back into the Premier League's top four.
Philippe Coutinho and Roberto Firmino demolished Brighton to keep Liverpool's top-four charge on track.
A sparkling two-goal performance from Eden Hazard helped Chelsea come from a goal down to beat Newcastle 3-1 at Stamford Bridge and go level on points with second-placed Manchester United.
Substitute Mohamed Salah's purple patch continued with two more goals as Liverpool ground out a controversial 3-0 win at Stoke.
Raheem Sterling scored a dramatic winner as Manchester City maintained their winning run with a last-gasp 2-1 defeat of Southampton.
Antonio Conte was sent off as Chelsea claimed a fifth Premier League win in six games with a 1-0 defeat of Swansea.
Arsenal strengthened their position in the Premier League top four as they made light work of Huddersfield to maintain their healthy home form.
Newcastle ended a run of four straight defeats after coming back from 2-0 down to claim a gutsy point at West Brom.