Bubble has its list of codes online at
[Link: worldofbubble.com]

You will notice that they list xbox and don't list xbox 360. I think you can assume they're not total idiots, so if they had an xbox 360 code they would have listed it. (XBOX 360 is definitely different IR signals from XBOX). They also don't list Microsoft Media Center, which I believe was available before the XBOX 360 and used IR signals that work on the 360.

It says there that they have an "update cartridge" for codes that aren't on that list and they tell you to contact their customer support.