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Got a retroid pocket 3+ and quite enjoying it
(hexbear.net)
Although every review or video that mentions it can run ps2 and gamecube. It can't. Also aethersx2 has been abandoned and is closed source. Also android sucks.
But so far its a really nice ps1 portable device. Usually I'd use my vita but I'm always worried about damaging it and they're not exactly in production so I wanted something more disposable with L2 and R2 buttons. Now i can play Abe's Odyssey/Exodus on the train :D
No reason to limit yourself to just PS1, since most 50+ dollar devices can do that- while GC and PS2 support is hacky at best, you should be able to do Nintendo 64, Sega Saturn, Dreamcast and PSP with upscaling.