Fixed.
The number of SRPGs on the system is quite limited (There really aren't that many SRPGs in general), but the PSP catalogue has many of the best specimens that the genre can offer. Tactics Ogre, Final Fantasy Tactics, Jean D' Arc, the original Disgaea, Valkyria Chronicles 2 and more. Not sure if all of them are on the vita store, but be sure to check them out.