Liverpool blew Everton away in the Merseyside derby and Jose Mourinho suffered his first loss as Tottenham head coach on his return to Manchester United.
Jurgen Klopp's Premier League leaders have an eight-point cushion at the top after a 5-2 win at Anfield on Wednesday that increases the pressure on the Toffees' beleaguered boss Marco Silva.
Leicester remain the Reds' nearest challengers after Brendan Rodgers' side saw off his old club Watford 2-0 thanks to second-half goals from Jamie Vardy and James Maddison.
Chelsea, Southampton and Wolves completed a clean sweep of home wins with victories over Aston Villa, Norwich City and West Ham respectively.
Divock the derby hero again
Divock Origi and Sadio Mane were the stars for Liverpool as their 5-2 victory in the Merseyside derby left stricken Silva surely on the verge of losing his job.
A remarkable first half saw six goals – Origi and Xherdan Shaqiri helping the Reds race ahead, though Michael Keane pulled Everton back into contention.
Another for Origi – his fifth Merseyside derby strike – restored Liverpool's two-goal advantage with Mane slotting home their fourth before Richarlison reduced the deficit again.
That effort failed to lift Everton and Georginio Wijnaldum delivered a likely final blow to Silva as counterpart Klopp claimed his 100th Premier League win.
Unhappy return for Mourinho
Spurs had won three games out of three under Mourinho but fell to a 2-1 loss away to Manchester United with Marcus Rashford scoring both goals for the Red Devils.
Rashford scored either side of a superb individual effort from Dele Alli to take his Premier League tally to nine for the season, with Spurs well off the pace.
United move into the top six, leapfrogging Mourinho's men, thanks to a much-needed victory that ends their run of three matches without a win in all competitions.
Abraham nets again for Blues
Tammy Abraham returned from injury to help sink former club Aston Villa as Chelsea got back to winning ways with a 2-1 victory on John Terry's return to Stamford Bridge.
Back from a hip problem, Abraham opened the scoring with a first-half header and provided a chested assist that allowed Mason Mount to volley a superb winner after Trezeguet's fortuitous equaliser.
Willian excelled throughout on the right flank and Chelsea, who had lost their past two league games to Manchester City and West Ham, should have won by more against opponents who had Blues legend Terry on the bench as assistant manager.
Penalty drama for Leicester
A 2-0 home win against managerless Watford was routine for Leicester, but striker Vardy was booked for diving when he seemed to be clearly fouled, despite the incident being checked by the VAR.
Vardy later converted from the spot, scoring for the seventh straight league game, and Leicester's winning streak also stretched to seven matches in the league after Maddison netted deep into added time.
Elsewhere, Southampton moved out of the bottom three at Everton's expense with Ralph Hasenhuttl's side sealing successive home wins with first-half strikes by Danny Ings and Ryan Bertrand setting up a 2-1 victory over Norwich at St. Mary's.
Wolves are fifth after goals from Leander Dendoncker and Patrick Cutrone downed West Ham 2-0. Nuno Espirito Santo's side are now unbeaten in 10 Premier League matches.