Arguably, almost any Idle game is a Groundhog Day simulator. You end up doing almost exactly the same thing again and again, but improve over time as you gain in experience and understanding...

But Majora's Mask, is the most obvious one. You have three days to stop the moon from crushing you, and you restart whenever that happens.

This is the game that taught me time management skills as a wee lad. I think it has held up remarkably well after all these years too.

Just curious, this is one of my most downvoted comments and seems pretty innocuous, would love to know why it seems so objectionable? What am I missing?

Not sure. Perhaps misinterpretation of what you mean by Idle game (usually people mean that genre of silly Flash games where you don't do anything, just watch) or (less likely) grammar sticklers who see inappropriate use of the horizontal ellipse (i.e., …) as laziness?

Idle Game / Incremental Game

https://en.wikipedia.org/wiki/Incremental_game

One of the best known is Cookie Clicker

If you liked Life is Strange, there was a manga from a few years ago that was recently made an anime called 'Erased' (boku dake ga inai machi).

Without any spoilers, it's about a boy who transports back in time after particular traumatic events occur, preceded by the appearance of a blue butterfly.

He then has to solve why he was returned to that point in his life while making choices that affect future outcomes in sometimes unintended ways, armed with the knowledge he gains in each repetition.

There is one called "Garbage Day" but I can't recommend it since the developer doesn't seem to have enough interest in developing it.