I'll leave here a breakdown with known composers thanks to the
piano book, for further reference (official Engish names
here):
Toru Minegishi: Title Theme, Aboda Village, Anjean's Theme, The Tower of Spirits, Riding the Rails 2 (Main Theme), Linebeck's Theme, Byrne's Theme, Seabed, Hero of the Tracks*, Song of Awakening, Song of Healing, Song of Discovery, Song of Birds, Song of Light, Game Over
Manaka Tominaga: Chancellor Cole's Theme, Hyrule Castle, Princess Zelda's Theme 2*, The Battle (Battle Part 1, mini-boss music?), Adventuring (Field), Fanfare of the Spirit Tracks (Spirit Flute actually)
Asuka Ohta: Fighting (multiplayer music)
Songs marked (*) were originally composed by Koji Kondo, who also said he only made the "ending theme" in
this interview.