Chelsea beat Aston Villa 3-1 after an initial 0-0 draw at Stamford Bridge and will now face Leeds at home in the last 16, while Liverpool will face more Championship opposition in Southampton after beating Norwich.
Manchester United will head to Nottingham Forest after beating Newport.
Maidstone, the only non-league team left in the draw, will face Coventry after their replay win over Sheffield Wednesday.
Elsewhere, an all-Premier League tie sees Wolves host Brighton, while Newcastle will face Blackburn. Bournemouth host high-flying Championship side Leicester.
The ties will be played in the week commencing February 26, 2024.
FA Cup fifth round draw in full
Blackburn vs Newcastle
Chelsea vs Leeds
Bournemouth vs Leicester
Liverpool vs Southampton
Nottingham Forest vs Manchester United
Wolves vs Brighton
Coventry vs Maidstone United
Luton vs Manchester City