This are all the attacks/moves that can turn a charachter around in the air.

Doc: neutral B, forward B and up B
Mario: neutral B, forward B and up B
Luigi: neutral B, forward B and up B
Bowser: neutral B, forward B. (not his up B, but you can grab the edge allways while using this move)
Peach: neutral B, forward B, up B
Yoshi: neutral B, forward B, and his second jump
DK: neutral B and forward B (same as with bowser not his up B, it doesn't matter which side you're facing for grabbing the edge while using this attack)
C.Falcon: neutral B, forward B and up B
Ganondorf: neutral B, forward B and up B
Fox: all B attacks
Falco: all B attacks
Ness: neutral B, forward B, up B
Ice Climbers: neutral B, forward B, up B
Kirby: neutral B, forward B, up B and his jumps
Samus: neutral B, foward B and up B
Zelda: neutral b, forward B and up B
Sheik: neutral B, forward B and up B
Link: neutral B, forward B (same as bowser)
Y.Link: neutral B, forward B (same as bowser)
Pichu: neutral B, forward B and up B (you can turn around twice with one up B)
Pikachu: neutral B, forward B and up B (same as pichu)
Jigglypuff: neutral B, forward B and his jumps
Mewtwo: neutral B, forward B and up B
G&W: all B attacks
Marth: neutral B, forward B, up B and B-air
Roy: neutral B, forward B, up B and B-air.

courtesy of : ivootjes(nr18)