I just got one of the "Atgames Atari Portable Deluxe" for a gift yesterday, and I found it one of the best ways to play Atari games on the go! or in a relaxed position. It has a really cool Gameboy Advance SP like screen. It plays wonderfully in the dark or with the lights off. Instead of any type of joystick it has a d-pad and many other buttons, it is in my opinion the best way to enjoy Atari games or even Atari ROM's in fact it can hold the entire Atari library, with it's SD card ability that can go up to 8 Gigabytes. But the SD card is sold separately.
Best of all it charges with an internal battery, like a cell phone, and you don't need to replace batteries, it takes SD cards also. plus it comes with 70 games built in. My sister got me some ROM's off AtariAge. Believe it or not even if you don't like handhelds this one is a good thing to have, in my opinion. (edit) the A button is sometimes unresponsive
TO BUY THE VERSION I HAVE
https://www.amazon.com/Atari-Flashback-Portable-Deluxe-built-Especial/dp/B076SY8CPH