I actually have a soft spot for Dragon Quest's presentation of battles (this also applies to the Mother games and GBC Pokemon). The action I create in my imagination is way more dynamic than what the later games can actually present. Probably the Toriyama artwork inspiring my inner Dragon Ball fan. Hell, even as an 8 year old playing Pokemon, my version of what my Feraligator did to his opponents was a lot more visceral and action packed than what Sun and Moon could show.

But that's a different conversation. I never played Phantasy Star Elly, but I HAVE seen the awesome attack animations in the Genesis games.