Not OP, but can recommend two similar ones, data frog SF2000 looks like a snes controller with a screen on it, it's cheap (~20-30 USD) but it gets a little laggy running GBA, and anbernic rg35xx is pricier but higher quality, and has a gameboy-ish shape (~60-70 USD) don't know about any of the other ones, but those two seem decent-ish from what I've heard. Haven't used them myself but they seem to be the most popular. Both have replaceable/upgradable batteries, but they're not AA's.