Like the PSP before it, the PlayStation Vita can access content on a PS3 and even play PS3 games remotely.
How to Set Up the PS Vita for Remote Play on a PlayStation 4 « PlayStation 4 :: WonderHowTo
This is the closest you'll get to a PlayStation Vita 2
Review: Sony PlayStation Vita
How to Pair a DualSense Controller to PS Remote Play on Your Android Phone to Play Your PS5 Games from Anywhere « Android :: Gadget Hacks
PlayStation Vita - Wikipedia
PS3 How To: Remote Play
PlayStation's Remote Play App Now Compatible with DualSense Controllers on Android 12 « Android :: Gadget Hacks
Remote play PS3 games to PSVita using a PS3 on CFW 3.55 - How to
Remote Play - PlayStation 4 Guide - IGN