Xbox 360 as a whole is in a half dead state nowadays. It is partially supported by Xbox One/Series X/S and if you want to get specific non supported titles to play, it is generally via rapidly aging, not very well built hardware.
I have a series E 360 I bought last year dirt cheap as a way to get to a lot of titles no emulator currently supports.
So Xbox Live is still supported but the store it is stuck in a partially preserved 2015 state, advertising Xbox One and a few upcoming titles.
You can still buy a lot of titles at reasonable prices, but you also get situations were you can download the demo - offer to upgrade to the full version but it no longer exists in the store.
There is a large amount of video streaming apps offered but are so old they cannot connect to the servers. Internet explorer is on there but the TLS certificates are all expired, so unless the site comes over pure HTTP - nothing happens.
BUT the MS Video store, still works and with recent releases! It is kind of neat to see in action and they build the service with legacy support. While only a maximum of 1080p, the image quality is pretty good for what is being offered.
I do wonder how much longer these things will limp along for but I suspect it won't be much longer.
With the poor hardware quality on both Xbox and Ps3, emulation is quickly becoming the main way that any of these titles will be playable.