I need to download my diablo game onto another computer (my desktop). But i lost my keys. Is there a way to see them without having the little black disc holders?

nope

but if you downloaded the game from battle.net

then you are allowed to see the cdkey ofc

by clicking on the icon (diablo) when logged in it should show you the new digit key

This post was edited by Intenso8 on Jul 27 2011 03:09am

No you can't see your cd key but you can transfer your diablo 2 folder to another computer with an external drive or USB stick and it would work just fine without re installing.

Ok, just to make it clear for you: it is possible by a way you might have heard, but it requires a 3rd party program, what is not allowed to talk about here.