After finishing my grand adventure in Witcher 1-2-3 world, I want to play a more 'light' RPG, so I'm now playing Final Fantasy 1 on PSP.
It seems like this version is one of the best remakes Square Enix has made, while the graphic and the UI is improved the feeling of the original has still remained.
I chose my guys to Fighter/Thief/White Mage/Black Mage as a typical one. They now got a ship and sailing for a while.
Personally, I found that GBA version (on which the PSP version is based) to be too easy, if we don't count the added boss fights or the final boss. They did improve class balance (in particular, the Thief class), but they did so by making the party more powerful, but didn't make the enemies stronger to compensate. Also, you level up too fast (something that, to my understanding, was partially rectified in the PSP version).
In any case, the PSP is probably the second easiest if you don't count glitches, as apparently they slowed down leveling slightly from the GBA version, mitigating one problem with the version. (With glitches, the PSP version is easiest, as there's a way to get an item that casts Flare for free early, and a way to get the super-powerful weapon that normally requires beating the new superboss in the most powerful form to get before the mid-game.) For FF1, my preferred version is the PS1 version, since it plays like the original with some bug fixes, and Easy Mode still doesn't feel too easy (the leveling rate feels reasonable, though you do end up being a bit higher in level by endgame).
For Final Fantasy 2, however, I actually consider the PS1 version to be the worst version that I've played, due to the fact that spells actually level up more slowly than in the original (and slow spell leveling was an issue in the original). On the other hand, at least inventory space was increased, but still not to the extent of GBA and later versions. If you can read Japanese or are OK with using a translation patch, I would recommend the Famicom original over the PS1 (or WSC) version. (Be aware that the Pixel Remaster of this game has a rather nasty bug; if an attack capable of inflecting a status ailment hits, the status ailment is guaranteed, which can make certain fights unfair; if you get ambushed by a group of 4 Cuerels (or whatever they're called), you might as well just reset.)