This was amazing!
Let's see how I can do...
Track #1 - Route 201, Pokémon Diamond/Pearl/Platinum
Track #2 - Dragon Roost Island, Wind Waker
Track #3 - The two roller coaster levels in Donkey Kong Country 2.
Track #4 - Not sure.
Track #5 - The Legend of Zelda Main Theme, and Tal Tal Heights together I think.
Track #6 - Luigi's Mansion Main Theme.
Track #7 - This theme is used inside Crateria of Super Metroid, and if the Space Pirates find you in Metroid Zero Mission.
Track #8 - The S.S Anne theme, Pokémon Red/Blue/Yellow
Track #9 - Sounds familiar, but I dunno.
Track #10 - Again, not sure.
Track #11 - Balloon Trip theme, Balloon Fight.
Track #12 - Mario Circuit, Super Mario Kart.
Track #13 - One of the level themes of Yoshi's Island.
Track #14 - The Pokémon Main Theme.
Track #15 - ...? It seems I've missed one somewhere.
Somewhere I missed a theme. Ah well.
And I thought I heard Gyromite somewhere between S.S. Anne, and Balloon Trip, but I'm not sure.