My pick would have to be the A Whole Nother Story trilogy, in which (spoiler warning) you can only travel back in time. But because time is in a loop of sorts, if you go before the beginning of time, you will be at the end of time. From there you can go back to any time you want to. And time paradoxes cannot be produced. Plus, your memories from the previous timeline exist as well as the memories from the new one.
I read Time and Again and hated it. Worst part (spoiler): one of the main characters is suddenly and without real explanation transported forward in time to modern day NYC. If that happened to me, or any person I’ve ever known, I would think I was dreaming, or high, or would scream my head off in fear and disbelief and immediately demand answers. Instead she calmly observes and marvels at the changes (to architecture!). No one in real life would react that way to something so insane.