no
they're good for fans, but can be pretty niche depending on the genre. they're the type of thing you only want to play once
The Persona game's stories don't have to do with each other.
There's a long while to wait for p5r tho. If you cant wait, p5 is low in price now. But since it's the same game but with new stuff, it could be worth the wait. Depends if you like to replay games for the new stuff.
You dont need the vita version of p4. You can if you want the extra new stuff. It's not as much new stuff as it could be.
I heard the p4 anime isn't as bad, so you could.
you've played the actual game.
P4 golden on vita is the definitive version of the game, so if you can borrow a vita from your friend (like i did when playing through it) that's probably your best option
absolutely don't touch PQ unless you've played either P4 or P3 - it's first and foremost a fanservice game, and you won't get much out of it without playing the main games
P4 animation (NOT P4 the golden animation, which is a completely different thing and is much worse) is pretty good. P5 animation is terrible and should be avoided at all costs.