Dragonhead Island, where I got the quest that lead me to the Spirit Temple and received the fifth sage and the master sword way way before I was supposed to. Was very fun playing through basically the whole game with the mech by me. So my path was Fire Temple -> Spirit Temple -> Korok Forest/Master Sword -> Collected all tears -> Water Temple -> Lightning Temple -> Hyrule Castle -> Hyrule Depths
It lead to a pretty funny, albeit anticlimactic, moment near the end of the game
Completely removed the need to do any of the Kakariko Village questline, though I went ahead and did it anyway just to see what it was.