Re: Time travel RPGs
As for The Strange: it's a great game, but what you might need to know that it's not strictly about travelling between parallel worlds. It's a bit weirder - and more fun :)
The main idea is that these "worlds" aren't truly separate realities, but pocket dimensions created (most often) by humanity's collective imagination, fiction etc. So, for example, in this setting, you don't get to travel just a parallel Earth that evolved into a fantasy world - you can actually travel to a pocket dimension reflecting Tolkien's Middle Earth. You can also visit a zombie world spawned by the various zombie apocalypse movies, or a world modelled after noir detective stories...
Also, these worlds aren't fully functional - they tend to be small and don't actually have to make sense. Just imagine a "world" that's actually one haunted orphanage, with no door you can leave through, with food arriving out of thin air etc. Or a world consisting of one scene playing in a loop, reflecting one potent bit of fiction...
The worlds can actually be totally crazy and surreal. There's one world that was spawned by one little girl's vivid imagination - and it's flat surface inhabited by crayon drawings. And when you travel there, you *become* a drawing, too :)
The Strange is... amazing. Seriously, people, check it out :))
Anyway! Yes, as mentioned, it does have this idea that the travellers get transformed to fit into the context of the locations they travel you. So, they arrive looking like the locals, they know the language, they even have the appropriate equipment. I imagine something like that could be very useful in a time travel game...