Southampton secured a 1-0 victory against Fulham with a late penalty, making them the first non-Premier League club to reach the FA Cup quarter-finals this season.
Manchester City will host Liverpool in the FA Cup quarter-finals while Arsenal travel to Southampton as the last-eight draw sets up a blockbuster clash.
Championship side Oxford United beat League Two's MK Dons on penalties after their match ended 1-1, while a couple of League One teams moved on, with Wigan Athletic beating Championship side Preston North End 1-0, and Port Vale defeating League Two's Fleetwood Town 1-0.
Manchester United were humbled 3-0 at home by Newcastle United in the League Cup fourth round
Images from the football matches played on Tuesday.
Premier League newcomers Watford suffered a League Cup upset in a 1-0 loss at Preston North End while five-times champions Aston Villa overcame plucky Notts County 5-3 after extra-time to reach the third round on Tuesday.
Wales international Ched Evans was jailed for five years on Friday for the rape of a 19-year-old woman.
Holders Manchester City began their assault on the FA Cup with a 4-1 victory over fourth-tier Port Vale but Manchester United and Wolverhampton Wanderers face an unwanted replay after drawing 0-0 at Molineux on Saturday. Goals from Oleksandr Zinchenko, Sergio Aguero, Taylor Harwood-Bellis and Phil Foden made it a routine day for City, although Tom Pope had equalised for a Vale side sitting 74 places lower in the standings.
Bobby Zamora struck twice as Fulham thrashed League Two Port Vale 6-0 on Wednesday to reach the third round of the English League Cup.
Romelu Lukaku scored for Chelsea in a 5-1 FA Cup third-round victory
Manchester United will travel to third-tier MK Dons in the Capital One Cup second round following the draw on Wednesday, the first time they have been involved at this stage of the competition for 19 years.
The injury will also rule him out of the reigning European champions' two Champions League quarter-final legs against last year's runners-up Paris St Germain, scheduled for April 7 and April 13.
Fulham forgot their Premier League struggles to sweep into the FA Cup fourth round with a 3-0 victory over fellow top-flight strugglers NorwichCity in a third-round replay on Tuesday.
'It's not easy to handle a team at a big, big club... always demanding to win competitions and every manager needs time. I have the feeling United started to play the way he wants'
West Bromwich Albion have ruled out the prospect of Saido Berahino leaving the club during the current transfer window, leading Tottenham Hotspur manager Mauricio Pochettino to compare his club's pursuit of the striker to a frustrated love affair.