The PlayStationTV whitelist hack will allow you to play the 'unplayable games' blacklisted by Sony because they wouldn't work that well on a PSTV.
Note: There are two versions of this trick! Version 2 (v2) might be harder to install but should have even more compatability and is therefore replacing the first version.
Compatability list at http://vitareviews.net/
Note: camera or microphone depending games obviously won't work at that point in the story
Tutorials & Guides Compilation
[Tutorial] How to install the PSTV Whitelist Patch (v2) (3.60)
[Tutorial] How to install the PSTV Whitelist Patch (v2) (all firmwares)
[Tutorial] How to install the PSTV Whitelist Patch (v1) (outdated!)
[Tutorial] How to activate the WelcomePark on a PSTV
Frequently Asked Questions
Can I get banned for installing and using this?!
We don't know how sony is going to deal with this yet.
Can I make use of this on my Vita?
You can use the tricks but it would make no sense.