Other games to check out include:

Crystalis (NES)
Soul Blazer and Terranigma (SNES - they form a thematic trilogy with Illusion of Gaia)
Crusader of Centy (Genesis)
Secret of Mana (SNES)

Hi folks,

Thanks for the suggestions. Unfortunately, most (if not all) of these suggestions tend to focus exclusively on combat mechanics.

I think a lot of the appeal of ALTTP is the ability to collect items that have effects which can help you progress is a relatively open-world environment (it's kinda like a topdown metroidvania).

I'll keep looking ;)