I have the PS1 Chrono Trigger, and I love it. The only problem is the load times, but that can be overlooked, at least in my mind.
The anime cutscenes are nice (and give a bit more insight on the events after the game's official ending), and it has (all unlockable) a jukebox, a beastiary, a treasure box list (if I am not mistaken), and an endings list, if not other things (my memory fails me at the moment).
Plus, it comes with Final Fantasy IV, and although I have yet to play it (due to current PS2 troubles), I hear it is a damn fine game.
Then again, you could always emulate. But if you want the console experience, I recommend getting it. If you are a Chrono fan, I don't think you'll regret it.
And while you're at it, pick up Chrono Cross. My favourite RPG to date, and who knows, it may tickle your fancy as well.