most of time travel mangas include only time travel which is not desirable, it occurs only once, the person goes to the past and the manga is about him living there, or there might be someone who is from the future, but it's still in this time.

I want a time travel with an actual time machine where the main character actually go through different times, more than once, when he wants to. something Back to the future like.

no hentai and no oneshots. thank you. I hope there is something like that.

if there is an option between "to do" and "not to do", I will always choose the latter.

"what kind of crazy, twisted conclusion is that...?" - banana bread no puding

Shinobi Life

That doesn't look anything like what this person is asking for. Is the description on this site totally wrong? I'm interested in a manga like the OP described as well. But Shinobi Life sounds more like InuYasha's maybe-back-and-forth-between-only-two-time-periods time travel, which is BS.

its not exactly a fit but you can try the anime steins gate

Gyakusou Shoujo - Owaranai Natsuyasumi? My memories a little shoddy, but from what I can remember she can go back/forth in time at first involuntarily, but I believe she could choose her destination later. For the most part though, the "time" she travels to isn't anything extravagant like going back centuries or anything. She's only traveling to certain parts of her life, s'all.

There was also the movie The Girl Who Leapt Through Time if you're in the mood for that.

Apollo no Uta is not exactly it, he can't decide when but he did visit various time of his reincarnation.

Akatsuki no Fumi only the oneshot is scantalated

You can try PSYREN? Only it lacks the actual time machine, since it's a person who's controlling where and when they travel.

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Summer Storm