Matty Cash's first-half goal fired Aston Villa to a 1-0 victory over Manchester City on Sunday, as the club celebrated Unai Emery's third anniversary as manager with a memorable win.
Eberechi Eze scored his first Premier League goal for Arsenal as the leaders' set-piece expertise secured a 1-0 win against his former club Crystal Palace on Sunday.
Champions Liverpool suffered a fourth successive Premier League defeat as they lost 3-2 at Brentford on Saturday to continue their miserable run of form in the capital.
Manchester United's improvement under coach Ruben Amorim continued as Matheus Cunha, Casemiro and two goals from Bryan Mbeumo secured a 4-2 victory over Brighton & Hove Albion on Saturday, their third successive Premier League win.
Sunderland extended their strong return to the Premier League on Saturday when they dealt Chelsea a 2-1 home defeat with substitute Chemsdine Talbi curling in a winner deep into stoppage time.
Liverpool slumped to a fourth consecutive defeat for the first time in 11 years as Manchester United won 2-1 on Sunday to end their near decade-long wait for victory at Anfield.
Crystal Palace forward Jean-Philippe Mateta completed a dream week with a hat-trick for his side in a thrilling 3-3 draw at home to Bournemouth in the Premier League on Saturday.
Arsenal moved three points clear at the top of the Premier League as Leandro Trossard sealed a 1-0 win against Fulham on Saturday.
Manchester City's Erling Haaland kept up his torrid scoring pace with two goals in five second-half minutes on Saturday to lift City provisionally top of the table with a 2-0 Premier League victory over Everton. Manchester City's Erling Haaland kept up his torrid scoring pace with two goals in five second-half minutes on Saturday to lift City provisionally top of the table with a 2-0 Premier League victory over Everton.
Crystal Palace forward Jean-Philippe Mateta completed a dream week with a hat-trick for his side in a thrilling 3-3 draw at home to Bournemouth in the Premier League on Saturday.
Arsenal moved three points clear at the top of the Premier League as Leandro Trossard sealed a 1-0 win against Fulham on Saturday.
Manchester City's Erling Haaland kept up his torrid scoring pace with two goals in five second-half minutes on Saturday to lift City provisionally top of the table with a 2-0 Premier League victory over Everton. Manchester City's Erling Haaland kept up his torrid scoring pace with two goals in five second-half minutes on Saturday to lift City provisionally top of the table with a 2-0 Premier League victory over Everton.
Nottingham Forest sacked manager Ange Postecoglou 20 minutes after they suffered a 3-0 defeat by Chelsea in the Premier League on Saturday which left the club languishing in 17th place and on the brink of slipping into the relegation zone.
Pep Guardiola says Manchester City are heading in the right direction after a significant rebuild, vowing he still has "unfinished business" at the Etihad, nine years into his reign.
Here is a look at how eight of them have fared so far.
Mohamed Salah is Liverpool's "Egyptian King", but the forward's crown has lost a little of its lustre during a disappointing spell in which his work ethic has come under fire.
Erling Haaland extended his blistering start to the season as the Manchester City striker sealed a 1-0 win at Brentford on Sunday.
Newcastle United midfielder Bruno Guimaraes scored a brilliant goal and won a penalty as his side beat Nottingham Forest 2-0 at home in the Premier League on Sunday to heap even more pressure on under-fire boss Ange Postecoglou.
Arsenal provisionally moved top of the Premier League as Declan Rice scored against his old club West Ham United in a 2-0 home victory in a lop-sided London-derby on Saturday.
