Xbox Cloud Gaming is awesome, but is there a way to request a game be added to it?

Well first it has to be a Xbox gamepass ultimate title which it isnt

Second you need to contact the developer as the code is available to do so but as mentioned the game has ot be put on xgp

I don't see why it would have contractual issues when the game was on the original xbox

Well first it is between the publisher and the dev

Since you are talking about a old game

Sega may not want any rights

You gotta remember games still need permission from the pyblisher

It’s chock full of licensed music they would have to negotiate and pay for again to publish it on new platforms, which legally BC is

Backwards compatibility program is ending again. No new games will be added. Games that have not been added to have certain technological or contractual hurdles, like the music in jet set radio future.

You would have to ask Sega to remake it

There is a game coming next year called Bomb Rush Cyberfunk that is very much JSRF by all appearances