While not developed by Microsoft, Insaniquarium (and its popular sequel, Insaniquarium Deluxe ) became a staple on Windows machines in the early 2000s. The game involved managing a tank of fish, feeding them, and protecting them from aliens. The "Infinity" connection here comes from the game's "Virtual Tank" mode, a sandbox mode designed to run indefinitely. Players could breed fish, collect shells, and let the game run as a screensaver-like simulation.
Until Microsoft announces Project Halcyon (or whatever they end up calling it), your best bet is to combine Wallpaper Engine with a roguelite like Binding of Isaac or Hades running in windowed mode.
Here’s a helpful, concise review of (assuming you’re referring to the classic Microsoft Infinity puzzle game or similar tile-sliding/logic games that appear under that name on the Microsoft Store).
Imagine generating a new level of a puzzle game every time you lock your PC. Imagine the game reading your calendar: If you have a meeting scheduled at 3:00 PM, the game spawns a "Boss Battle" at 2:55 PM.
: It is primarily found on free HTML5 gaming sites like Funky Potato . 2. Windows Infinity: The Mockup Universe