Have you tested everything to make sure it turns on once assembled? Sometimes these laptops need to be grounded to the case in certain spots to turn on.
Check my signature for a PC I built inside an NES. You can really put in just about anything, but at the size of the lap top, you may be limited to larger enclosures.
Get created. Use an ammo box or an old crate or something. If you go to Ikea, you can usually find a lot of interesting storage solutions that I always thought would make could PC enclosures.
It is a shame that board is protruding from the side, as is is adding a lot of uneeded space. If you knew anything about soldering you could cut it off, and re-solder the leads....would be a very advanced procedure 
That peice actually comes off it snapps into place. it is the small strip for the power button.
Was looking into project boxes for enclosures but they dont have any that big.
I have tested it. I plugged the board up inside my cab and it fired right up. But I will definitely look intp grounding it.
The only reason I chose tgis laptop is because it was handy in the junk closet so it is free.
1 gig of ram is plenty for the classic 8 and 16 bit games. Everything runs fine.
The idea is to make it idiot proof for my brother. Just a power button and usb ports on the front like a simple console.
Also I love the nes pc that was my plan all along until I got the board out and realized its so big and in one piece so I can't condense it.