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.
Ashley Young struck twice against former club Watford as Manchester United won a thrilling contest at Vicarage Road to close to within five points of leaders Manchester City.
Tottenham Hotspur's hopes of returning to the Premier League top four were dashed as they lost 2-1 at Leicester, who rose to ninth in the table thanks to fine finishes from Jamie Vardy and Riyad Mahrez.
Raheem Sterling claimed a lucky late winner as Manchester City came from behind to restore their eight-point Premier League lead with a 2-1 win at Huddersfield.
Alexis Sanchez converted a stoppage-time penalty as Arsenal snatched all three points in a 1-0 win at Burnley.
Mohamed Salah returned to haunt former club Chelsea but Liverpool were denied a hugely significant victory as Willian conjured an equaliser out of nothing at Anfield.
Gary Megson made his case for a longer stay as West Brom manager as his resilient side held Tottenham to a 1-1 draw at Wembley.
Ashley Young's deflected strike proved the slice of luck Manchester United needed to sneak past promoted Brighton.
West Ham secured their first point under David Moyes as Cheikhou Kouyate's header earned a 1-1 draw with Leicester.
David Moyes failed to inspire West Ham as their Premier League woes deepened with defeat in his first match in charge at Watford.
Paul Pogba returned from injury to inspire Manchester United to a 4-1 win over Newcastle at Old Trafford.
Tony Pulis' position at West Brom looks increasingly under threat after Chelsea inflicted the joint-heaviest defeat of his near three-year reign at The Hawthorns.
A virtuoso performance from Mohamed Salah ran Southampton ragged as his two goals inspired Liverpool's 3-0 win at Anfield and fired the Egyptian to the top of the Premier League scoring charts.
Manchester City's record-breaking start to the Premier League season continued with a dominant display against Leicester at the King Power Stadium.
Arsenal proved they are still a force to be reckoned with by blowing away Tottenham in a pulsating north London derby.
A fine header from Alvaro Morata gave Chelsea a 1-0 win over Manchester United at Stamford Bridge as Manchester City stretched their advantage at the top of the Premier League.
Riyad Mahrez smashed a late penalty over the bar as Manchester City and Liverpool played out a dull 0-0 draw at Anfield.
Ross Barkley scored his first goal for Chelsea to help defeat Southampton 3-0 at St. Mary's on Sunday.
Arsenal midfielder Aaron Ramsey scored the goal of the game as Unai Emery's men made it nine consecutive wins in all competitions with this 5-1 victory over Fulham.
A 90th-minute goal by Alexis Sanchez helped Manchester United complete an unlikely comeback and claim a 3-2 win over Newcastle at Old Trafford on Saturday.
Eric Dier scored his first Premier League goal since April 2017 as Tottenham Hotspur defeated Cardiff City 1-0 at Wembley Stadium on Saturday.
Liverpool's unbeaten start to the Premier League season continued after Daniel Sturridge rescued a point in the dying minutes against Chelsea.
A late own goal from Watford's Craig Cathcart and a Mesut Ozil strike two minutes later gave Arsenal a 2-0 win at the Emirates on Saturday that sent them above the Hornets in the Premier League table.
Harry Kane scored twice as Tottenham Hotspur moved into fourth place in the Premier League with a 2-0 win at bottom club Huddersfield Town on Saturday.
A stunning Sergio Aguero goal capped Manchester City's 2-0 win over Brighton & Hove Albion as Pep Guardiola's champions served further notice that they will again be the side to beat in the Premier League this season.
Manchester United's miserable start to the season continued as they laboured to a 3-1 defeat at West Ham.
The brilliance of Chelsea's Eden Hazard ended Liverpool's 100 percent start to the season as Maurizio Sarri's side enjoyed a 2-1 win at Anfield in the League Cup third round on Wednesday.
Manchester City were made to work but found a way past Oxford United in a 3-0 Carabao Cup victory on Tuesday night.
Manchester United crashed out of the Carabao Cup with a defeat on penalties to Championship side Derby County on Tuesday after the third-round tie ended 2-2 in normal time at Old Trafford.
Two goals in three second-half minutes gave Arsenal a 2-0 victory over Everton at the Emirates Stadium and took them up to sixth in the Premier League table.
Chelsea were denied their sixth successive Premier League win as London rivals West Ham held them to a 0-0 draw at the London Stadium.
Tottenham Hotspur brought an end to a run of three successive defeats as they won 2-1 at Brighton on a damp Saturday evening on the south coast.
A disappointing Manchester United were held to a 1-1 draw at home to promoted Wolverhampton Wanderers at Old Trafford on Saturday, leaving them eight points adrift of Premier League leaders Liverpool.
Sergio Aguero marked his 300th appearance for Manchester City with a familiar landmark goal to set the resurgent Premier League champions on their way to a magnificent 5-0 win at Cardiff City on Saturday.
Liverpool forward Mohamed Salah netted his first league goal since Aug. 25 as the Reds thrashed Southampton 3-0 to make it six Premier League wins out of six and leapfrog Chelsea at the top of the table on Saturday.
West Ham United beat Everton 3-1 at Goodison Park on Sunday to secure their first Premier League points of the season as Marco Silva tasted defeat for the first time as Everton manager.
Manchester United ruined Watford's first perfect start to a Premier League season with a 2-1 victory at Vicarage Road on Saturday.
Manchester City comfortably defeated Fulham 3-0 at the Etihad Stadium on Saturday to stay within two points of leaders Liverpool and Chelsea.
A free kick by midfielder Granit Xhaka and a goal by Mesut Ozil gave Arsenal a 2-1 win at Newcastle United despite a stuttering first-half performance on Saturday.
A hat trick from Eden Hazard gave Chelsea their fifth win in five games, a 4-1 victory over Cardiff City that sent them to the top of the Premier League on Saturday.
Liverpool continued their perfect start to the season after a goal in each half gave them a 2-1 victory over Tottenham Hotspur at Wembley Stadium on Saturday.
Watford came from behind with two set-piece goals to beat Tottenham Hotspur 2-1 at Vicarage Road on Sunday, ending the visitors' perfect start to the Premier League season while maintaining their own.
Manchester United fans showed their backing for manager Jose Mourinho after Romelu Lukaku struck twice as United returned to winning ways after two successive Premier League losses with a 2-0 victory at Burnley on Sunday.
Alexandre Lacazette scored his first goal of the season in his first start under Unai Emery, handing Arsenal a 3-2 victory away against Cardiff City.
Raheem Sterling and Kyle Walker each scored as Manchester City defeated Newcastle United 2-1 at the Etihad Stadium on Saturday.
Chelsea stretched their perfect Premier League start to four games after second-half goals from substitute Pedro and Eden Hazard gave them a 2-0 home win over Bournemouth on Saturday.