Update:
Bought 2x 3 litre lunchboxes - very strong, some give, but this can be cured later to make it very rigid. It is only a tiny amount larger than I would have liked. Choose them as the plastic is strong, quite rigid, flat at base and close to the size I really wanted. only cost about £2.49 each from Woolworths.
Decided the best way is to link wires to all of the GP2x buttons, remove the bar on the GP2x which goes around the diameter, screw it all back together. I will have the screen showing through the lunchbox (hole cut) and the front of the GP2x can be permanently glued to the lunchbox - if I need to get to the motherboard in the future, I only need to remove the screws at the back of the GP2x in the normal way then. With the buttons removed, the GP2x case is flat, so no problems. In the middle will be the batteries, on the left side will be the joystick and D-pad and on the right side will be the buttons. Crude diagram below:
There are 2 sets of side buttons - one set is to act as left and the other as the B button - I use them in Psycho Pinball a lot (flipper keys). My project, I will have these extra keys if I want them!
Lunchbox:
Grinded down the two strips on the bottom of the box (to make it nice and flat); then cut it down (half finished complete height). When the bottom piece is cut (same size) it will give a nicely rounded and interesting shape (below is one piece, other isn't cut out and finished yet).
Cut out the hole (for the GP2x screen) - this is just the screen, the GP2x only has about 2cm clearance each side, which I will need to mount speakers (the two from the GP2x and two I have from old Gameboys - link two to each side, better sound quality at louder volume.
(Pic below is upside down)
I need to finish this, and then re-inforce it as needed. It needs more work done to it, however in the spirit of my posting-as-I-am-going-along blog, I am showing the state of it at the moment.
The battery holder (D cell), and buttons I will use are as below (Maplin). Nice big buttons, easy to press. I am going to mount them in the right places (where they feel natural), then secure them firmly in place with pollyfiller, so all I have to do is connect the two connectors onto each button. A fair bit of work to do though yet.