I couldn't find a decent upload of the soundtrack anywhere so I decided to upload it myself. I didn't rip these but supposedly they're the files straight from the game. I had to go through and rename them all.

Punch Bowl (vs. Bashmaster, The Unbreakable)

Final Battle HAG1 (Banjo-Tooie CD Soundtrack)

H-Blithesome Crash

Rise- Axl Intro Stage Ver1.3

Original track: https://www.youtube.com/watch?v=uQHm8PYBres&index=4&list=PLyozrBudY8Sgi0sY-_vA-9MPZzk9g1ZAj

Battle Theme - Mario and Luigi Paper Jam

Mushroom Hill Act 2 (Modern) (Sonic & Knuckles) (from Sonic Generations)

Megahammer (Without Yoshi) - Super Mario Galaxy 2

Sonic Heroes ~Original Sound Version~

Hang Castle: Inverted

This music is from the original game.  Give credits to Nintendo when used.

Super Mario 3D Land: Original Sound Version

The Final Battle - Super Mario 3D Land

As heard in the trailer.
Playlist: https://soundcloud.com/auranticus/sets/bowsers-fury-playlist

Mushroom Hill Act 2 (Modern) (Sonic & Knuckles) (from Sonic Generations)

METAL KNUCKLES