Well, there are very few official patches for FF7 (in fact, even the Chocobo patch is unoffical). If you don't care if it's unoficial, you've got a wide range of available patches. What do you want?
-Better resolution? Then use The Saint's Higher resolution patch (it sets the game at 1280x1024).
-Better models? Well, you can use Reunion's patch to replace the standard blocky field models with those from the battles. It doesn't replace all the models though. There is another project (I'm working on it) to redo all the other models, but it's far from completion yet.
-Better music? Use FF7Music and use hi-quality MP3 instead of the old crappy midis.
-Filtered backgrounds? Jejeje... yeah, me too. Too bad there is no patch for that (and I think there won't be for a loooooooooong time).