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 on Saturday.
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 SUFFER FIRST LOSS
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.
"The boys are in really good form and think we can win every game and today we showed that," Nketiah told the BBC.
Palace moved provisionally up to second, three points behind leaders Liverpool.
OWN GOALS, HAALAND GIVE MAN CITY WIN
Burnley's Maxime Esteve became only the sixth player to score two own goals in a Premier League game as City climbed up to fourth.
Esteve scored the first when he tried to deny Phil Foden but Jaidon Anthony managed to beat Gianluigi Donnarumma to make it 1-1.
Matheus Nunes restored City's lead with a close-range effort before Esteve's second own goal came when he looked to stop Oscar Bobb from finding the net.
Haaland struck twice in the dying minutes to hand Burnley their biggest loss of the season.
MANCHESTER UNITED LOSE AT BRENTFORD
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.
Igor Thiago capitalised on United's high line for the opener when Jordan Henderson sent him through on goal in the eighth minute, before the Brazilian forward grabbed his second when United keeper Altay Bayindir spilled a save right into his path.
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.
"We didn't control the game, we played the game of Brentford. We were really confused (on) second balls, first balls, set pieces," United manager Ruben Amorim said.
"The crucial moments, they were against us. Tough to lose again."
CHELSEA SEE RED AGAIN
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.
Bournemouth took the lead at Leeds when Antoine Semenyo scored from a free kick but the home side made it 2-1 when Joe Rodon and Sean Longstaff netted either side of halftime.
With Leeds close to taking three points, Kroupi volleyed home from inside the box in the 93rd minute to lift Bournemouth up to third.
Nottingham Forest host Sunderland later on Saturday while Tottenham Hotspur welcome bottom side Wolverhampton Wanderers, who are seeking their first points of the season.
