On Tue Aug 18 15:01:47 PDT 2009, Nrrrdking said:
If you click on Profile at the top in the MyGamehouse section and sign in, you will see an option for "Download History" which will show the games you've purchased.
If you're trying to reduce clutter in general you can create a folder in your desktop (just right click anywhere empty and select "Create New Folder") and drag all the game icons into that new folder so that they're all in one place. You can just open the folder and run them from there.