Topic: Playstation TV Multiplayer Question

As I've posted elsewhere, I'm possibly going to pick up a Playstation TV soon. While I've done plenty of reading and watching on the thing (and I'm quite happy with what I've seen), I do have a question regarding local multiplayer - namely, is there any?
Obviously Vita and PSP games aren't designed for that, but has anyone found any PS1/minis games that actually work in 2 player?

Also. My daughter really likes Sonic & All Stars Racing Transformed. She started playing it on my Vita and after doing well in school I got her the Wii U version. Being portable could I hypothetically downland SASRT to a another memory card for the PSTV on my account, then play an ad hoc multiplayer game with my Vita that's also on my account?

To answer my second question, yes! Ad hoc multiplayer between the PSTV and Vita with games/memory cards on the same account works a treat

One major annoyance with the PSTV is how it rearranges all of your games etc, every single time you move the memory card between the vita and the PSTV. There's just no need for that!

I've never tried any multiplayer bits yet, my guess is the ps4 streaming works fine but I've no idea about the vita stuff.

Guacamelee supports local 2 player on PSTV. Good support from the dev's there.

Also, the excellent Alien Breed reworking supports the DualShock 4 touchpad by default.
Interesting that the feature is present here where it's omitted everywhere else so far.
The PSTV really has bags of potential. Shame it will likely never be fully realised.