I enjoy mine for some vita games but mostly for the emulators via RetroArch. There is only a small handful of vita games that aren't good on the PSTV. Using a PS4 controller allows the mouse pad to be used as the touch screen on a Vita.
Learning/configuring RA is not easy but the emus really do run good, no lag either, not kidding some brilliant minds did a great job.
*I actually do not go on PSN with mine. I've had the same account for way too long to risk a ban.
The new VitaShell update is out now with USB support so things are evolving/improving.
Quick list of good Vita games:
TxK (Tempest knock-off)
Street Fighter X Tekken
Sky Force Anniversary
Murasaki Baby (trippy/artsy puzzle game)
Check out Reddit if you've not already.
Edit:@Goat813 is correct but.....as much as I love PSP Go it cannot output via HDMI.
2nd Edit: You can play backups. Mai dumps are great. Reddit!
3rd Edit: The only games that can't be played w/Henkaku are on 3.61/3.63 ofw. Not that many and I'm confident cfw will handle that as well. Peace and love and all that stuff.