Stevenage's reward for knocking out Doncaster is a fourth-round tie against five-time FA Cup winners Everton.
The Hertfordshire side overcame their Championship opponents at the Keepmoat Stadium and will now host Roberto Martinez's men, who have impressed in the Premier League so far this season.
The Premier League big boys have all been kept apart with Arsenal, who beat north London rivals Tottenham at the Emirates Stadium on Saturday evening, at home again against cash-strapped Coventry.
Chelsea will host Stoke, with the winner of the Manchester City v Blackburn replay facing a home fixture against Bristol City or Watford.
Rochdale's reward for beating Leeds in the third round is a fourth-round meeting at home to either Macclesfield or Sheffield Wednesday.
Keith Hill's Sky Bet League Two side recorded a deserved 2-0 win over the 1972 winners and will be hopeful of progression in to round five as they welcome either cash-strapped Macclesfield or three-time winners Wednesday.
Brendan Rodgers will take his Liverpool side to either Bournemouth or Burton with Swansea facing a trip to Birmingham, Bristol Rovers or Crawley.
Nottingham Forest will be at home once again as they face either Ipswich or Preston after Billy Davies' side recorded a memorable 5-0 win over Premier League outfit West Ham on Sunday, while Conference outfit Kidderminster will travel to face Sunderland if they can overcome Peterborough in a replay.
Southend saw off Millwall 4-1 in their third-round meeting and their manager Phil Brown will now pit his wits against former club Hull at Roots Hall in the next round.
Holders Wigan were held at home by MK Dons on Saturday but if they can win at stadium:mk they will host Crystal Palace with Southampton facing Yeovil and Ole Gunnar Solskjaer taking Cardiff to Bolton.
The winner of the all-Premier League replay between Norwich and Fulham will travel to Sheffield United while Port Vale will host Brighton, and Huddersfield, who squeezed past Grimsby on Saturday, will take on Charlton or Oxford.
Third-round FA Cup draw: Sunderland v Kidderminster or Peterborough; Bolton v Cardiff; Southampton v Yeovil; Huddersfield v Charlton or Oxford; Port Vale or Plymouth v Brighton; Nottingham Forest v Ipswich or Preston; Southend v Hull; Rochdale v Macclesfield or Sheffield Wednesday; Arsenal v Coventry; Stevenage v Everton; Wigan or MK Dons v Crystal Palace; Chelsea v Stoke; Blackburn or Manchester City v Bristol City or Watford; Bournemouth or Burton v Liverpool; Birmingham, Bristol Rovers or Crawley v Swansea; Sheffield United v Norwich or Fulham.