I got this system back in 2006. I've bought a lot of garbage on their service since then, but was never enough of a sucker to buy a bigger HDD except for the one time my system ate it and I had to get a new system anyway. So, there's probably been a whole bunch of stuff I've bought, ran out of space, then deleted to make room for new games I'd never finish. Now I'm about four bourbons deep and don't remember what games I bought on a whim back in 2009. I'm really in the mood to go revisit, in some cases probably play for the first time, stuff from those previous consoles.

PS3 is simple enough, it seems to sort that stuff by media type (and I didn't own that console as long anyway). But the 360 seems to want to surface each thing I've ever clicked 'download' on, and there have been a lot of dumb free promotion gamerpics. Does anybody know a way to surface just the games I've bought on this system? I guess I could go through my achievements and then manually track down the games I've owned in the store, assuming I could remember which games were rentals, physical copies, and digital copies.

There's a list of everything you've ever downloaded somewhere.

If you look up your purchase history on xbox.com you can sort by game type (demos, full games arcades). If you just google "xbox view downloads" click the xbox site and then click the link to purchase history, that should help you find what you're looking for. You can also look up the purchase history on the 360 but that's not easily sortable and will show you everything in reverse chronological order from most recent to oldest.

There's a 'Download History' section somewhere in the console account settings.

https://commerce.microsoft.com/PaymentHub/Transaction