1-Up is a brief jingle that is played when you get a 1-up mushroom. The song is not named on any official album.
Super Mario Bros. (NES)
This jingle is played as usual. It's not well-known track/SFX in this game as others, because it's rarely played.
The track is number 18 in NSF file.
Super Mario Bros. 2 (NES)
Koji Kondo remixed the 1-Up jingle for SMB2.
The song is track 15 in the NSF file.