Xbox stream purchased game in Xbox one

I don't think the OP understands how game streaming would work. Streaming an Xbox 360 game to the Xbox One wouldn't stream game data, it's just a video feed. You only download a video feed, not the game. What you would get is video feed of a game running
on server somewhere in the world, with the ability for you to interact with it using your controller. No actual game data would be processed by the Xbox One.

There would be the potential for previously purchased digital purchases to be free streamed, but I find this highly unlikely given the cost of providing the stream in the first place. No, if this were to be done, it would be pretty much identical to Sony's
upcoming PlayStation Now service.

You can not play xbox one or xbox 360 games - either on disc or digitally - on a windows 10 PC. The

play anywhere feature is only for those who have purchased the digital copy of the games on that list and it can be played on xbox one and windows 10, that does not apply to xbox 360 games at all.

You CAN stream them from an xbox one to your windows 10 PC using the Streaming feature in the xbox app on windows 10 and then have your xbox one play a backwards compatible game and then stream the xbox one to your PC while it's playing an xbox 360 game
and you can earn achievements that way.

Streaming from xbox one to windows 10 xbox app:
https://support.xbox.com/en-US/games/game-setup/how-to-use-game-streaming

Xbox 360 games that can be played on xbox one:
http://www.xbox.com/en-US/xbox-one/backward-compatibility/available-games

If you own the game digitally it will show up on My Games and Apps > Games > (your game). If you own the disc insert it and download the converted copy and play while the disc is in.

You can not play xbox one or xbox 360 games - either on disc or digitally - on a windows 10 PC. The

play anywhere feature is only for those who have purchased the digital copy of the games on that list and it can be played on xbox one and windows 10, that does not apply to xbox 360 games at all.

You CAN stream them from an xbox one to your windows 10 PC using the Streaming feature in the xbox app on windows 10 and then have your xbox one play a backwards compatible game and then stream the xbox one to your PC while it's playing an xbox 360 game
and you can earn achievements that way.

Streaming from xbox one to windows 10 xbox app:
https://support.xbox.com/en-US/games/game-setup/how-to-use-game-streaming

Xbox 360 games that can be played on xbox one:
http://www.xbox.com/en-US/xbox-one/backward-compatibility/available-games

If you own the game digitally it will show up on My Games and Apps > Games > (your game). If you own the disc insert it and download the converted copy and play while the disc is in.

Are you trying to stream a game from Xbox 360 to Windows 10? That's not supported - the media center of old was for streaming videos and songs.

There is a way to stream Xbox 360 games to Windows 10, but it involved using an Xbox One and playing the backwards compatible Xbox 360 on the Xbox 360, then streaming the Xbox One to Windows 10.

xbox.uservoice.com/.../11380836-watch-tv-on-xbox-one-while-streaming-xbox-one-game