List of Super Mario Advance 4: Super Mario Bros. 3 glitches
From the Super Mario Wiki
This is a list of glitches found exclusively in the game Super Mario Advance 4, a remake of Super Mario Bros. 3. For glitches found in the original Super Mario Bros. 3 or the version included in Super Mario All-Stars, and possibly Super Mario Advance 4: Super Mario Bros. 3 as well, see List of Super Mario Bros. 3 glitches.
NOTE: Unless otherwise noted, all names are conjectural.
Icon Color Change
To do this glitch, Mario or Luigi must have completed World 2-. It will have a "completed" white icon, however, if Mario goes to the left, so that the level is off-screen and back, the icon will turn yellow.
To do this glitch, the player must hold and at the same time, and Mario/Luigi will run backward.
If a Starman runs out in this version, Mario/Luigi will have a slightly washed-out color palette. This will be fixed if he takes a warp pipe or door, takes damage, beats a level, or gets a power-up (other than a Starman).
Boss Bass Glitch
If the player goes to World 3-3 or 3-8 and lets Boss Bass jump out of the water after Mario or Luigi, the player must repeatedly press while Boss Bass dives into the water and until his head pops up they must stop. If done correctly, Boss Bass doesn't hurt the plumbers but are still stuck inside and the player cannot escape except by exiting the level or restarting the game.
Fast Underground Music
If the player enters a pipe on the map after using a Starman, after the Starman expires, the faster version of the underground music will play indefinitely.