They still have the same crappy issues as the originals.
Which means skip Chrono Trigger, IV(if the PSX version is even on PSN), V, and VI. Origins is decent(best version of 1 to me since I think it's better balanced, though PSP has more content and is worth playing also).
So I'd only recommend Origins, Tactics, VII, VIII, and IX if you don't already have them on PSN and want them on PSN. The Anniversary editions of 1 & 2 are sadly not on PSN. Final Fantasy IV Complete is worth grabbing if you don't have it as well.