Aaron Ramsey was decisive as he scored late on to give Arsenal a record 13th FA Cup crown in a 2-1 win over 10-man Chelsea.
Arsenal continued their charge towards a third FA Cup crown in four years with a dramatic comeback victory against Manchester City.
Tottenham's Wembley woes continued as they shipped four goals to Chelsea to crash out of the FA Cup at the semi-final stage.
Lincoln proved unable to spring an FA Cup upset away to Arsenal, but manager Arsene Wenger may find little solace in beating the minnows.
Manchester United scraped through to the FA Cup quarter-finals after Zlatan Ibrahimovic got the winner in a 2-1 triumph at Blackburn Rovers.
Replays were scrapped in the FA Cup last season due to a condensed schedule, but they will return in 2021-22 up to and including round four.
Pierre-Emerick Aubameyang scored both goals at Wembley as Arsenal ended Manchester City's hopes of a domestic cup double.
Derby County's win over Northampton Town means Wayne Rooney is set to face his former club Manchester United in the FA Cup fifth round.
James Milner limped out of Liverpool's 1-0 FA Cup win over Everton after nine minutes and Jurgen Klopp said he has a muscle injury.
Everton failed to make their experience count in the FA Cup third round, as Liverpool's Curtis Jones dealt the visitors more Anfield woe.
Chelsea lost Christian Pulisic, Cesar Azpilicueta and Pedro to injury against Arsenal and neither player will be fit to face Bayern Munich.