fahrenheitkirbyfahrenheitePSXe for playing playstation games and I got most of my games from CoolRoms
for ps1 or ps2? i'd highly recommend pcsx2 for ps2. if it's anything like the ps2 itself, you should be able to play ps1 games on it just fine, but i don't remember the emulator i used when i played FFT again. but yeah, coolroms and emuparadise never let me down.
ePSXe only works for PS1
I also recommend PCSX2 for PS2 games, but be aware you have to BIOS dump your ps2 to get PCSX2 to work
there are tutorials on how to do that
I've never had to BIOS dump anything; just dl'ed them and it worked fine