@charizard1605: is the vita one ok? my other buddy, from LI who has the X1 and PS4 and every other console ever fvckin made, said download, chronotrigger for vita.
Persona 4 Golden for the Vita? Yes, that is the best possible entry into the series, and into the genre. The only issue will be you will never play another one that will match up lol.
Chrono Trigger is an amazing game, but don't get the one from the PSN Store, that one is bullshit. I recommend hunting down the DS version, that one has all the enhancements of the PS1 version, but none of the stupid loading times, in addition to more content and further DS specific enhancements you can't get anywhere else.
Basically, if you want to play the game, it should be DS>SNES (the one you can get on Wii as well)>PS1 (the one that you can get on PS3, PSP, and PS Vita as well)