Tottenham Hotspur inflicted a first defeat on Pep Guardiola's Manchester City as they outplayed their opponents to storm to a 2-0 victory.
Joe Allen scored a late equaliser to cancel out Anthony Martial's opener as Stoke City came from behind to secure a 1-1 draw against Manchester United.
Diego Costa got Chelsea's season back on track with a dominant second-half performance to sink Hull 2-0 at the KCOM Stadium.
Liverpool went second in the Premier League table after coming from a goal down to secure a 2-1 victory at struggling Swansea.
Crystal Palace had a goal controversially disallowed as their Premier League winning streak came to an end with a 1-1 draw at Everton.
Charlie Austin increased the gloom at West Ham with his fifth goal in four games as Southampton ran out easy 3-0 winners at the London Stadium.
An outstanding first-half performance by Arsenal saw them beat London rivals Chelsea 3-0 at the Emirates and go third in the Premier League table.
Sergio Aguero struck twice on his return from suspension as Premier League leaders Manchester City made it a perfect six wins from six under manager Pep Guardiola.
Son Heung-Min struck his second double in the space of a fortnight as Tottenham shrugged off the absence of Harry Kane to make it three Premier League wins in a row with a 2-1 triumph at Middlesbrough.
An irrepressible Liverpool ran riot in a 5-1 win against a hapless and helpless 10-man Hull as the goals continued to rain in at Anfield.
Manchester United produced a blistering first-half performance as Premier League champions Leicester City were swept aside at Old Trafford.
Manchester United will take on Manchester City in the fourth round of the EFL Cup at Old Trafford next month.
Manchester City recorded their ninth successive win under Pep Guardiola by seeing off EFL Cup opponents Swansea 2-1 at the Liberty Stadium.
Jose Mourinho's Manchester United ended a three-match losing streak and reached the EFL Cup fourth round with a timely, if at times uncomfortable, win at Northampton.
Vincent Janssen showed there may be life after Harry Kane as the stand-in striker scored his first Tottenham goal in a 5-0 romp over Gillingham.
Cesc Fabregas scored an extra-time brace as Chelsea came from two goals down to secure a 4-2 victory against 10-man Leicester City to advance to the fourth round of the EFL Cup.
Liverpool eased into the last 16 of the EFL Cup as the goals continued to flow for Jurgen Klopp's side with a 3-0 win at Derby.
Arsenal will be hoping their 4-0 victory against Nottingham Forest in the EFL Cup is a good omen.
Harry Kane scored the winner and then left the pitch on a stretcher as Tottenham secured a 1-0 victory over struggling Sunderland.
Jose Mourinho and his Manchester United side endured a week to forget as Watford secured a well-deserved victory at Vicarage Road.
Club-record signing Islam Slimani capped a dream Premier League debut as his brace powered Leicester City to victory over Burnley.
Arsenal and Alexis Sanchez continued their fine record against Hull as Arsene Wenger's side won a third straight Premier League match for the first time since December.
Pep Guardiola's stunning start at Manchester City continued as the Premier League leaders crushed Bournemouth 4-0 at the Etihad Stadium.
A dominant first-half display proved enough to give Liverpool victory over Premier League rivals Chelsea, inflicting a first defeat on Antonio Conte and ruining the homecoming of David Luiz.
Diego Costa struck twice to help Chelsea secure a 2-2 draw at Swansea City and ensure the Blues maintained their unbeaten record in the Premier League this season.
Liverpool's much-anticipated return to a new-look Anfield did not disappoint with a 4-1 win over Premier League champions Leicester.
Tottenham repeated their April annihilation of Stoke with another 4-0 win at the bet365 Stadium which maintained their unbeaten start to the season.
Santi Cazorla's controversial stoppage-time penalty was enough to give Arsenal victory over Southampton in their Premier League meeting at Emirates Stadium on Saturday.
Manchester City beat Manchester United 2-1 to extend their perfect start to the Premier League season and end that of their local rivals in an entertaining and action-packed encounter at Old Trafford.
Chelsea have confirmed they have agreed a deal to re-sign David Luiz from Paris Saint-Germain.
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.