I've only got a few at the moment since I'm just a weenie at this fandom rn (and this thread is rly good for a newbie haha)
a tempest, a cyclone, a goddamn hurricane is one where Sansa is able to speak to ghosts and it completely changes things when she reaches King's Landing.
The Stormborn and the Stormbringer where Daenerys hatches King Ghidorah rather than three dragons. It's pretty much canon compliant until she reaches Meereen and then it spirals off into its own thing.
The Mountain's Range which is a SI fic, where a federal agent our time is reborn into Gregor Clegane's body in ASOIAF 'verse. He has knowledge of the books.