just wondering because I'm thinking about getting a PSTV because it is WAY cheaper then the PS vita. 

Plenty of lists on the Internet for this. But a lot of PSOne Classics, majority of digital PSP titles and a lot of Vita titles. As long as it doesn't use touch screen controls heavily you should be good.

 

Final Fantasy X/X-2 HD Remaster works perfectly fine.

Check wikipedia's list of games, filter by RPG, then see which ones are TV compatible. Persona 4 Golden definitely is.

Don't know if it's compatible but if it's then you should totally buy it just to play Persona 4 Golden because that game is GOD like

Well since you're a Tales of fan you might wanna pick up Tales of Hearts R since it's compatible with the PStv. Only downside is you might have some diffuculties with the touchscreen based mechanics.

Well since you're a Tales of fan you might wanna pick up Tales of Hearts R since it's compatible with the PStv. Only downside is you might have some diffuculties with the touchscreen based mechanics.

 

No English audio though.

Well since you're a Tales of fan you might wanna pick up Tales of Hearts R since it's compatible with the PStv. Only downside is you might have some diffuculties with the touchscreen based mechanics.

I've already played that game on someone else's psvita, but I wouldn't mind playing it again. 

Persona 4 Golden, Danganronpa 1,2, & Ultra Despair Girls,  Hyperdimension Neptunia Re;birth 2 & 3(don't know why the first game isnt compatible), Hyperdevotion Noire, and Akiba's Trip