The Orange Box shows as unavailable.
Unless I’m reading it wrong, the compatibility page says the orange box is compatible with series x. you just need a physical copy.
searched Orange here https://www.xbox.com/en-US/games/backward-compatibility
Games info page https://www.xbox.com/en-us/games/store/the-orange-box/BSHPN3SZ2TB4
Yes, I bought a used physical copy, less for Half Life but mainly for Portal.
Half Life 2 doesn’t play that well with controller. In my opinion, it was clearly made for keyboard and mouse. But Portal plays nice!
If you have it on Steam you might be able to stream it provided both the system with steam and your xbox are on the same WiFi network. I don’t know if it will have proper controller support though.