 If you liked
Toki wo Kakeru Shoujo
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 ...then you might like
Monogatari Series: Second Season
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The art between these two anime series are extremly similar and while only one arc, but this movie have the same concept " time travling for good reasons always gets back at you ". The romance is a supporting role which is pretty well done.
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Recommended by GiantQAACSleier
"Kabukimonogatari" and "Toki wo Kakeru Shoujo" are both about time travelling.
Koyomi saved Mayoi with Shinobu's help but transformed the future world; Makoto used her ability of time travelling to change some trifles but hurt her friends.
We can see the butterfly effect brought by time travelling in the two anime.