Can try Lego games, easy to pick up and play for a little bit.
Good:
Ninjago: Shadow of Ronin (surprisingly good, very nice graphics), Legends of Chima, Lego Movie, Marvel's Avengers, Batman 3, Jurassic World
Bad:
Ninjago: Nindroids (this is the first ninjago, very bad), LOTR (the only vita Lego I didn't complete, hub is too confusing)
The rest forgot liao. There's a time when vita lego games have 10 challenges per level and one of those is a 'multi-challenge'. Those multi-challenge ones are bad. The recent ones dropped that and are back to form. Earlier ones like Harry Potter series are good too.
The above is from memory, kinda hazy after playing so many Lego games. I did play quite a few Lego vita games solely on the PS TV, but can't guarantee that the above are TV compatible, so pls do check first (I think all lego are, but check the back cover). Note that some Lego vita games do make use of the touch screen for some functions, but when playing on PS TV, you can press L3 then use the stick to move around and click (just like touching the screen). The vita lego games don't require this much, so not an issue at all.
Edit: looking at the
wiki list, Legend of Chima is not compatible.