Crystal Palace and Aston Villa will be screened live on Saturday, April 26 (17:15 BST).
Palace has ever won the FA Cup, despite reaching the semi-finals for the third time in 10 seasons, while Aston Villa has been looking for the first major trophy since
The equality will also be displayed on the iPlayer and BBC Sport.
Nottingam Forest and Manchester City will be unveiled the next day at the National Stadium at 16:30 on ITV.
Forest, who wins the Premier League twice, will try to reach the FA Cup final in the Champions League next season.
Manchester City, who have won seven FA Cup finals in the FA Cup, won the 2023 FA Cup, after beating Manchester United 2-1 in Manchester United before they lost 2-1 to their rivals last season.