Just a few hours ago, from the official Xbox portals the news has come out that, as of October, there will be no more sets Xbox 360 inside Games With Gold. Having reached the limit of Xbox 360 games that Microsoft can offer, within its monthly free games, the service will continue to go ahead with only Xbox One games. However, you do not have to worry about Xbox 360 games that are already from your property, either by purchase or by accessing them through Games With Gold, because they will remain in your libraries.
How to find out which Xbox 360 games work on Xbox Series X|S
Since it is somewhat scattered to know which Xbox 360 games work on Xbox Series X|Sthe Microsoft website offers a very simple tool to find out the Xbox 360 and Xbox One games you can enjoy on your Xbox Series X|S. Just go to this link (https://www.xbox.com/en-US/games/backward-compatibility) and type in the search bar the game you want to know about, either Xbox 360 or Xbox One. To make the search easier, Microsoft allows you to search for all games or by console: Xbox 360, Xbox or Xbox One.
At the moment it is unknown if Microsoft will end up ceasing to offer Xbox 360 Backwards Compatibles on Xbox Series X|S; possibility that, in any case, depends on the game developer agreeing to it. At the moment there is nothing confirmed, so let’s hope that Microsoft can send us a wave more than Xbox 360 games on Xbox Series X|S.