All versions of the game are different. Therefore, they all have their own routes. Differences are often minor, but they are still important regarding how to consider the run. Here are all the routes for New Game runs:

NTSC-U and PAL GameCube (Early Sylph) https://docs.google.com/document/d/1dzYAF1hXol0nBGFrn7QxdsmoVoxJfR-2A6TCgjsUmAU

NTSC-U and PAL GameCube (Late Sylph) https://docs.google.com/document/d/11JT_KsaNjGaIRmiuTb8hUstEAIOLh3YbPNOary-XYo0/edit

NTSC-J GameCube https://docs.google.com/document/d/1hFvinipMD_XmrqsfoXg9i4DCg_Xp3JrA1mhuixSKIio/edit

NTSC-J PlayStation 2 and PlayStation 3 Currently being re-done.

NTSC-U PlayStation 3 and Steam https://docs.google.com/document/d/1GuKcUHK5lYmqOV7LdBm9srAr2U8xoKjyKJQOj1LJb9w/edit