How can I view a list of the Xbox 360 games I own?

There is no way to do it on the website anymore. Your best bet is to check your download history on the Xbox 360 instead. To check your download history goto settings - account - download history.

Hello Digo,

You can see a full list of all games (and DLC) you own here:
account.xbox.com/MyGames

Just click "view all" for either Xbox One or Xbox 360 to see all content you own on each platform.

Unfortunately there's not a good way to do that anymore. You can view purchased games at http://account.microsoft.com but that will only go back so far and won't show things like Games with Gold games.

Well the question was to be able to view my xbox one library on my pc also, but anyways you would think that the good ole geniuses that built the xbox app for windows 10 would have included all the xbox games you own period. Nope.......

Unfortunately there's no longer 1 place for that. The most accurate way to view all of your 360 content is through your purchase history on a 360 console. They removed the list on the website. You may be able to view some purchases at http://account.microsoft.com but old purchases/purchases made with Microsoft points won't show.

For one content, you would view it through your order history on the console as well. To view your purchases, press the Xbox button  to open the guide. Go to Profile & system > Settings > Account > Payment & billing. Select Order history to view your purchases.