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.
Manchester City secured their 10th win in 11 Premier League games, extending their lead at the top of the table with a 3-1 victory over Arsenal at the Etihad Stadium.
Tottenham Hotspur got back to winning ways in domestic football as Son Heung-Min's goal proved enough to see off an unlucky Crystal Palace at Wembley.
Liverpool deepened West Ham United's problems as they strolled to a 4-1 win at the London Stadium.
Peter Crouch's second-half header earned Stoke a point at home to Leicester and ensured a familiar scoreline at the bet365 Stadium.
New boss Claude Puel began his Leicester reign with a routine win over managerless Everton as the Foxes eased away from trouble.
Eden Hazard's first Premier League goal of the season eased Chelsea past Bournemouth 1-0 at Dean Court.
Leaders Manchester City strolled past West Brom to maintain their grip at the top of the Premier League.
Liverpool manager Jurgen Klopp got one over on best friend David Wagner as Daniel Sturridge's 100th club goal paved the way for a 3-0 win over Huddersfield at Anfield.
Arsenal came from behind to beat Swansea in Arsene Wenger's 800th Premier League game in charge of the Gunners.
Anthony Martial came off the bench to score the winning goal as Manchester United beat Tottenham 1-0 at Old Trafford.
West Ham eased the pressure on manager Slaven Bilic by fighting back from two goals down to beat Tottenham 3-2 in the Carabao Cup fourth round.
David Unsworth's first match as Everton's caretaker manager ended in a 2-1 defeat at Chelsea in the fourth round of the Carabao Cup.
Claudio Bravo was the hero as stuttering Manchester City needed penalties to see off hard-working Wolves and make the Carabao Cup quarterfinals.
Teenage striker Eddie Nketiah came off the bench to score twice on his home debut and send Arsenal into the quarter-finals of the Carabao Cup at the expense of Norwich.
Manchester United bounced back from their Huddersfield horror show with a comfortable Carabao Cup victory at Swansea.
Harry Kane scored twice as Tottenham Hotspur brushed Liverpool aside 4-1 at Wembley on an afternoon of glaring defensive frailty from Jurgen Klopp's visitors.
The pressure on Everton manager Ronald Koeman increased as his side dropped into the relegation zone after a 5-2 defeat to Arsenal at Goodison Park.
Sergio Aguero equalled Manchester City's goal-scoring record as the Premier League leaders saw off hard-working Burnley 3-0 at the Etihad Stadium.
Huddersfield are celebrating one of their best wins in decades after Aaron Mooy and Laurent Depoitre brought Manchester United's unbeaten Premier League start to a shock halt.
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.