I have many arduino's (and variants) and a massive bunch of gizmos and gadgets (plus shields).
There are many designs for arduino game systems..
Adafruit (website has a package).
Arduino Game
You won't emulate an Atari, but you may be able to create something similar.
Get a Nokia LCD shield. It has good lcd and joystick and buttons.
I have a few lcd shields.
DO NOT get a touchshield slide if you're new to this. It can not be programmed via arduino IDE.. It uses a separate IDE (processing) and has it's own ATMEGA chip onboard. Many liquidware parts are not for learners.. (Tank Shield is cool, but you can make your own for less thank half the price and it will work easier).
Edit: I also can't see why you're aiming to something so advanced on the arduino when you don't have it yet.
Have you ever used one?
Just follow some tutorials and at least try and get an LED to blink and then make an LED array..
If you already have experience then ignore this "edit".
The arduino is designed for HARDWARE anyhow.. It's not a video output system...
Enjoy some servo's and make some cool stuff.