Back-compatible games like Xbox og and Xbox 360

For clarification: Original Xbox games on Xbox 360 require an official Xbox 360 Hard Drive be installed in the console. This hard drive contains a hidden partition that includes the emulation files needed to run the Original Xbox game. This requirement
is the same if you're running one of the hundreds of OG Xbox games on disc on Xbox 360 or if you have downloaded them digitally.

On Xbox One, the back-compatibility for OG Xbox is built-in, and the games install in the same manner as Xbox 360 back-compat games (you download it from the Store, or you insert the OG Xbox game disc).

Until Project Scarlett comes out they have halted the back compat program.

Who knows maybe all OG Xbox/360/Xbox One games will be back compat with Scarlett.

As a bit of a history lesson, the servers for OG Xbox consoles were shut down in April 2010, about 4 1/2 years after the debut of Xbox 360. Now, if that was the standard, the Xbox 360 servers would have already been shut down. However, there are two differences
between OG > 360 and 360 > One. First, Xbox 360 has a much larger installed base than the OG Xbox. Second, there is a large library of Xbox 360 titles playable on Xbox One through back-compat, and those games, when played on Xbox One, access the Xbox 360 servers.

As the Xbox Series X is believed to be fully compatible with all previous-gen Xbox consoles, it would stand to reason that the Xbox 360 servers will remain up for quite some time in the future in order to run those back-compat titles. And if that were true,
I would LOVE to hear them say that they're standing up virtual OG Xbox servers for those games that need them. But, none of that is official, and servers for OG Xbox are pure speculation on my part … a wish-list item, you might say.

There's more OG Xbox games than in your list and also some of those are 360 games.

All those were originally on the OG Xbox, they also re released the odd one on the 360

There is also only 39 OG games available on the backward compatability list

In order to play Original Xbox titles, your console must have an installed official Xbox 360 Hard Drive. This drive will have a partition that has the needed emulation files to run the OG titles.

This Wikipedia article, while not official, is a good resource for which games from the OG Xbox are compatible on Xbox 360. Incidentaly, only a very small fraction of those are back-compatible on Xbox One.