The Eagles, who last weekend set a top-flight record for going five games without winning or scoring at the start of the season, continued their miserable start at the Etihad Stadium.
Manchester United picked up yet another win, Romelu Lukaku – who else? – securing a 1-0 win at Southampton. Earlier in the day, Tottenham Hotspur overcame a late scare to beat rivals West Ham United 3-2.
This is the weekend in stats.
West Ham United 2-3 Tottenham Hotspur
Two goals in four minutes from Harry Kane, and a second-half effort from Christian Eriksen, ensured Mauricio Pochettino's side now have a 100 per cent record on the road this season – the first time they can say that since the 1991/1992 season.
Dele Alli, though not at his best this term, has now provided 11 assists for Kane in the Premier League since the start of the 2015/16 season – more than any other player. In total, 65 per cent of the midfielder's assist have been for Spurs' No.10.
Kane has, however, hit the woodwork more times than any other Premier League team this season, finding the frame of the goal in his way five times.
The one blot on Tottenham's copybook was Serge Aurier's sending off for two bookings. The former Paris Saint-Germain defender became the first Spurs player dismissed in 84 top-flight fixtures in seeing red at the London Stadium.
Burnley 0-0 Huddersfield Town
With just five shots on target in the game it was little wonder this Battle of the Roses was last on Match of the Day.
Entertainment was in short supply, though Huddersfield midfielder Aaron Mooy did his best to unpick Burnley's defence by creating four chances – more than any Premier League player on Saturday without registering an assist.
For stubborn Burnley, the draw means they are unbeaten in four top-flight games for the first time since December 2014.
Everton 2-1 Bournemouth
The sense of relief at Goodison Park was palpable on Saturday as Everton ended a run of four games without victory in the Premier League.
Oumar Niasse was the unlikely hero for the Merseysiders, coming off the bench to score his first Premier League goals for in the final 13 minutes, turning a 1-0 deficit into a much-needed win for Ronald Koeman.
The forward has been frozen by the Dutchman after joining club for £13.5million from CSKA Moscow in February 2016. Niasse spent the second half of last season on loan at Hull City and waited 600 days to score his first top-flight goal for Everton.
Defeat for Eddie Howe's Cherries means they have now lost 28 points from winning positions since the start of last season – more than any other side.
Manchester City 5-0 Crystal Palace
Pep Guardiola's side handed out another lesson as bottom side Palace were rolled over at the Etihad Stadium.
Yet for 44 minutes Roy Hodgson's men looked solid, compact and organised. Then Leroy Sané opened the scoring and the floodgates opened after the break. The German has now scored five goals from just seven shots for the Citizens in all competitions this season.
The margin of victory means City become the first Premier League team to score five ore more goals (5-0 v Liverpool, 6-0 v Watford, 5-0 v Palace) in three consecutive games. The last team to do it was Blackburn Rovers during the 1958/59 campaign.
Raheem Sterling scored twice to take his Premier League tally to five already. It took the winger until December last season to get that many and he finished with just seven league strikes to his name.
— OptaJoe (@OptaJoe) September 23, 2017
Southampton 0-1 Manchester United
Even José Mourinho's bizarre sending off at the death could not detract form United's best start to a Premier League season since the 2011/12 campaign.
The Portuguese encroached the pitch in the dying moments of the game and was given his marching orders by referee Craig Pawson.
But even that couldn't prevent United making it five wins from six with Lukaku bagging his eighth goal for the Red Devils after just 20 minutes.
Afterwards Mourinho admitted he hadn't expected the former Chelsea transfer target to be so prolific. And with good reason. The last United player to score six in his first six appearances was Louis Saha.
Southampton, meanwhile, have now failed to score in eight of their last nine home fixtures, a run which stretches back to last season.
Stoke City 0-4 Chelsea
The Potters had a crisis at centre-back with Kevin Wimmer, Ryan Shawcross and Geoff Cameron all injured. Kurt Zouma, meanwhile, couldn't play against his parent club.
And it showed as Chelsea breezed to a 4-0 win with Álvaro Morata becoming the 17th player to score a top-flight treble for the Blues. Only Arsenal (19) have more hat-trick heroes in the Premier League era.
Defeat was a near inevitability given Stoke's top-flight record against Chelsea. The Potters have been beaten more times by the West Londoners (14) and shipped more goals (42) against them than any Premier League opponent.
Manager Mark Hughes will be glad to see the back of the champions too. The former Chelsea striker's record against his old club is his worst versus any Premier League opponent with 16 defeats and 47 goals conceded.
Swansea City 1-2 Watford
Richarlison's late strike was enough to give Watford three consecutive away wins (Bournemouth, Southampton, Swansea) for the first time in the Premier League.
Swansea, meanwhile have lost three consecutive league fixtures at the Liberty Stadium, under the same manager, for the first time since January 2014. That was when Michael Laudrup was still at the helm.
Victory in South Wales also ended a horrendous run which has seen the Hornets fail to win at the home of the Swans in each of their last five visits – a wait of 34 years.
Leicester City 2-3 Liverpool
In the day's late game, Liverpool atoned for Tuesday's Carabao Cup defeat to the Foxes with Barcelona transfer target Philippe Coutinho going some way towards redemption after a failed move to Spain over the summer.
The Brazilian made Mo Salah's opener with an inch-perfect cross to the back post before curling home a stunning free-kick eight minutes later. He has now netted more goals from outside the box (16) than any top-flight player since making his top-flight debut in January 2013.
Liverpool's other hero was goalkeeper Simon Mignolet. The Belgian stopper rightly gets his fair share of criticism but came up trumps for Jürgen Klopp's side when he saved Jamie Vardy's penalty. It was Mignolet's seventh penalty stop from the 15 spot-kicks he's faced since moving to Anfield in 2013 – more than any other keeper.
Brighton & Hove Albion 1-0 Newcastle United
Tomer Hemed's second-half goal was enough to give the Seagulls their second Premier League win of the season at the expense of Newcastle, who pipped them to promotion last term.
The win made it back-to-back league wins at the AmEx Stadium, the first time Albion have achieved that feat since the 1982/83 season when competing in the old Division One.
Goal-scorer Hemed is something of a home-bird having scored 15 and assisted a further five in his last 23 games at the AmEx Stadium.
Going behind didn't bode well for the Magpies who have now lost 22 of the last 24 away Premier League fixtures they've gone 1-0 down in.