Crystal Palace's English striker Eddie Nketiah celebrates. Photo: BEN STANSALL / AFP
Premier League champions Liverpool dropped points for the first time this season when they lost 2-1 at Crystal Palace in the eighth minute of added time as Manchester United and Chelsea suffered 3-1 defeats.
United slumped at Brentford and 10-man Chelsea were beaten at home by Brighton & Hove Albion, who scored twice in stoppage time.
Manchester City thrashed Burnley 5-1 thanks to two own goals and a late brace from Erling Haaland while Leeds United were held to a 2-2 draw after Bournemouth equalised in added time through 19-year-old Eli Junior Kroupi.
Liverpool were on the back foot early on when Palace took the lead in the ninth minute through a set-piece when the ball fell to Ismaila Sarr who smashed it home.
Liverpool would have conceded more if not for goalkeeper Alisson while Jean-Philippe Mateta nearly made it 2-0 when he hit the post.
Although Liverpool equalised through Federico Chiesa in the 87th minute, fellow substitute Eddie Nketiah provided late drama when he scored the winner in the 97th minute, with Selhurst Park celebrating the goal twice after VAR confirmed he was not offside.
Palace moved provisionally up to second, three points behind leaders Liverpool.
Burnley's Maxime Estève became only the sixth player to score two own goals in a Premier League game as City climbed up to fourth.
Bryan Mbeumo received a warm welcome from the Brentford fans as he returned to his former club for the first time since his move to Manchester United but the reception paled in comparison to the roars when the home side went 2-0 up inside 20 minutes.
United pulled one back when Benjamin Sesko scored his first goal for the club but Bruno Fernandes had a penalty saved by Caoimhin Kelleher before Mathias Jensen put the game out of reach in added time with a rocket from outside the box.
Chelsea had a player sent off for a second time in as many league games when Trevoh Chalobah saw red for denying Brighton a goal-scoring opportunity at Stamford Bridge.
Enzo Fernandez had given Chelsea a 1-0 lead with a close-range header but Chalobah's red card in the 53rd minute reduced the home side to 10 men and Brighton made it count when Danny Welbeck opened his account for the season with the equaliser.
Brighton capitalised again in the 92nd minute when Maxim De Cuyper powered a header home and the visitors sealed all three points when Welbeck scored in the 10th minute of added time.
Leeds and Bournemouth drew 2-2.
- Reuters
