Premier League champion Manchester City was eliminated from the League Cup at the first hurdle by Aston Villa on Tuesday, and Everton was beaten by second-tier club Leeds.
Villa beat City 4-2 after twice coming from behind to force the game into extra time, when Charles N'Zogbia and Gabriel Agbonlahor scored.
Goals from Aidy White and Rodolph Austin put Leeds into the fourth round with a 2-1 victory over Everton, which is third in the Premier League.
But it was completely one-sided at Chelsea, with Fernando Torres among six different scorers as the Premier League leaders crushed Wolves 6-0.
City's patchy form in the league, however, extended into the first domestic cup competition of the season.
Mario Balotelli gave a strong City side the lead in the 27th minute, but the visitors drew level thanks to an own goal by former Villa midfielder Gareth Barry in the second half.
Aleksandar Kolarov restored City's lead before Villa equalized again when Agbonlahor scored his first of the night in the 70th.
N'Zogbia scored six minutes into the first extra period with a low shot from close range, and Agbonlahor sealed victory with a fine strike near the end.
At Elland Road, Leeds stormed in front after four minutes when Aidan White weaved his way through the visiting defense before unleashing a fierce drive into the net.
Leeds doubled its lead with 20 minutes remaining when Danny Pugh's shot was backheeled into the net by Rodolph Austin, ensuring Sylvain Distin's late header was only a consolation.
"We started terribly, gave them the initiative and lost the game in the opening 20 minutes due to the way we started," Everton manager David Moyes said. "We gave away a really poor first goal and left ourselves trying to get back into the game."
At Stamford Bridge, Chelsea captain John Terry played after appearing in front of a Football Association racism hearing for a second day.
Gary Cahill, Ryan Bertrand and Juan Mata all scored inside the opening 17 minutes for Chelsea, while Oriol Romeu netted from the penalty spot earlier in the second half before Torres and Victor Moses added further goals.
Also Tuesday, Swansea was spared from embarrassment late at Crawley, coming from behind and scoring in stoppage time to beat the third-tier side 3-2.
Wigan eliminated West Ham with a 4-1 victory, Southampton defeated Sheffield Wednesday 2-0, and Sunderland won 2-0 at MK Dons.