Feralnette AU: Bunnyx believes this is her role; however, she vastly overestimates the importance of her reality, believing it to be the One True Timeline to which all others must adhere. This is not helped by the fact that due to how Time Travel works in their multiverse, she's the only active Rabbit Hero, temporarily gaining the memories of whatever Alix is native to a given reality when she pops in. While she's meant to trim off dead ends or fix broken timelines with minimal interference, her overzealous efforts to force all other realities to conform to precisely the same world she knows ends up causing the Marinette of this 'verse to break down — and the harder she presses, the worse things get...
The Dear Sweetie Belle Continuity has the Guild of Time Defense, founded by multiple versions of the inventor of the time travel spell, who subsequently passed their essence into countless ponies across the space-time continuum, signified by an hourglass cutie mark.
Brave New World: One branch of the Guardians is the Temporal Knights, who are charged with preventing time paradoxes and otherwise ensuring that time flows smoothly throughout the universe. Team Quantum may or may not have gone rogue.