This app was mentioned in 2 comments, with an average of 1.50 upvotes
You could also consider the Xperia Play... Similar form to PSP Go, but it's more powerful and it's android. The best thing about it is that you can use software like "Gamekeyboard" to map the hardware buttons to physical points on the touchscreen, and play excellent platformers like this:
https://play.google.com/store/apps/details?id=rico.lite.app&hl=en
i have a whole list on my other computer, but off the top of my head:
Rico (Lite)
Rico (Paid)
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Ascent of Kings (Free, i think with ads? or maybe just a demo)
Ascent of Kings (Paid)
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Nubs' Adventure (Free with one IAP to unlock full game i think?)