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The Xbox 360 Store Will Close July 2024, But You Can Keep Playing Your Favorite Games - Xbox Wire
On July 29, 2024, Xbox will stop supporting the ability to purchase new games, DLC, and other entertainment content from the Xbox 360 Store on the console and the Xbox 360 Marketplace. This change will not affect your ability to play Xbox 360 games or DLC you have already purchased.
news.xbox.com
On July 29, 2024, Xbox will stop supporting the ability to purchase new games, DLC, and other entertainment content from the Xbox 360 Store on the console and the Xbox 360 Marketplace (marketplace.xbox.com)
Related to this change, the Microsoft Movies & TV app will no longer function on Xbox 360, which means TV and movie content will no longer be viewable on your Xbox 360 after July 29th, 2024.
Not surprised given how janky buying Xbox 360 games been. You can still buy backwards compatible games on later consoles but this'll still probably leave some games without legitimate purchase methods.
FAQ in the linked article