Manchester City beat promoted Sunderland 5-3 at the Etihad in a thriller, with Erling Haaland sealing the win on 81 minutes after a Bryan Brobbey hat-trick for the visitors.
Brighton handed Arsenal their first defeat of the season with a 3-0 win at the Amex, while Alexander Isak scored for the second straight game as Liverpool won 1-0 at Bournemouth.
Aston Villa won 3-2 at Tottenham, Brentford beat Chelsea 3-0, and Newcastle defeated Hull 2-1.