Quick answer: Two fan-made native PC recompilations of the PSP game Dissidia 012, one by VCKing101 and one by LiinkPK, run at 60 FPS on Steam Deck according to Steam Deck HQ.

Dissidia 012, the PSP sequel to Final Fantasy's spin-off fighting game Dissidia, now has two native PC recompilation projects. Steam Deck HQ tried both on the Steam Deck and says the game runs at 60 FPS without issues.
The more popular one is by VCKing101 and was made with Claude AI. It stays closer to the original game, but adds online 1v1 battles and split-screen. Its latest update allows online play between Windows and Linux users.
The other one is by LiinkPK. Steam Deck HQ says it doesn't seem to use AI, or at least not as heavily. It's a bigger download because it includes LiinkPK's HD texture pack, and those textures have to be moved into the right folder by hand. The menus and text are also reworked, with clearer text and a changed character select screen. It doesn't have online play, but it does support mods and comes with one to try.
As for which came first, VCKing101's version had a playable release first, two weeks before Steam Deck HQ's Nov 9 article, and LiinkPK's followed the week before that article. LiinkPK's project actually started earlier, though, with its first commit in August, while VCKing101's started three weeks before the article. Both projects are still in active development and have had recent updates.