Man City are facing a battle to hold on to their Premier League title in the cup final against Chelsea in Manchester on Sunday.
The Gunners will take on Chelsea in the semi-final after an entertaining final in the Champions League, which they won 3-0.
Manchester United will take part in the final against Tottenham, who won 4-0 on aggregate last season.
The winner of the Premier League and Champions League will be crowned champions of England, while the winners of the FA cup and the FA Ladies Cup will win the European Cup.
The FA Cup semi-finals are also a chance for fans to celebrate the 20th anniversary of the league and cup competition, when the league was introduced in 1996.
The Cup is the main competition for club football in England and the Champions league is the other major competition in Europe.