As an alternative to the Muzio Gambit, white can look for rapid development in the King’s Gambit by using the McDonnell Gambit. It starts with the moves:
1. e4 e5
2. f4 exf4
3. Nf3 g5
4. Bc4 g4
5. Nc3
For more chess openings you can check out https://www.thechesswebsite.com/chess-openings/ and even drill down by moves to find the openings you care about.