Liverpool's big win over Everton, as well as draws between Arsenal and Manchester City, and between 10-man Manchester United and Chelsea, were some of the notable results.
In other matches, Tottenham came back from a 2-0 deficit to draw 2-2 with Brighton, and Fulham beat Brentford 3-1, while Leeds won 3-1 against Wolves.
Goalkeeper
Martin Dubravka (Burnley) - 7.8
Martin Dubravka made seven saves in Burnley's 1-1 draw against Nottingham Forest, helping his team secure a hard-fought point at Turf Moor.
His best save came in the second half against Igor Jesus.
Defenders
Neco Williams (Nottingham Forest) - 8.1
Neco Williams scored the fastest goal of the season so far, netting in the second minute against Burnley.
He also showed solid defensive skills, winning seven duels and making three clearances.
Chris Richards (Crystal Palace) - 8.0
Chris Richards had a strong defensive performance as Crystal Palace maintained their unbeaten start with a 2-1 win over West Ham.
He made 12 clearances, four tackles, and lost just one of eight duels.
Tyrone Mings (Aston Villa) - 7.8
Tyrone Mings put in a solid performance at the back for Aston Villa, who drew 1-1 with 10-man Sunderland.
He made 13 clearances and won seven of eight aerial duels.
Midfielders
Harry Wilson (Fulham) - 7.8
Harry Wilson contributed to Fulham's comeback against Brentford, creating three chances and scoring a beautiful goal with a curled effort.
Anton Stach (Leeds) - 8.2
Anton Stach had a strong all-action performance for Leeds, helping them win 3-1 against winless Wolves.
He scored a brilliant free-kick and played a crucial pass for Noah Okafor to extend their lead.
Ryan Gravenberch (Liverpool) - 8.4
Ryan Gravenberch continued his impressive start with a confident display in the derby.
He scored a clever goal and played a key pass for Hugo Ekitike's strike in the first half.
Alex Iwobi (Fulham) - 8.4
Alex Iwobi had a goal and an assist for Fulham against Brentford, inspiring their recovery.
He scored an instinctive finish and played a perfect pass for Harry Wilson to put them ahead.
Forwards
Jaidon Anthony (Burnley) - 7.8
Jaidon Anthony continued his strong start with a goal against Nottingham Forest, stabbing the ball towards goal and beating Oleksandr Zinchenko.
Hugo Ekitike (Liverpool) - 8.2
Hugo Ekitike scored the winning goal for Liverpool against Everton, taking one touch and slotting the ball low into the corner.
Gabriel Martinelli (Arsenal) - 7.7
Gabriel Martinelli made a significant impact off the bench for Arsenal, scoring a dramatic equalizer against Manchester City in second-half stoppage time.
He beat Gianluigi Donnarumma with a clever header.