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.
“By His Bootstraps,” by Robert Heinlein, is up there. Heinlein really liked to play with temporal paradoxes, and this is one of the best examples of a closed time loop. “All You Zombies,” from the same author, is similar in time loop, but edgier (since it involves a guy getting himself pregnant).
Stephen Baxter’s “Exultant” is another, since he really plays with the “faster than light travel = time travel” concept. I won’t pretend I understand how that works, but physicists assure me it’s true, so Baxter turning it into an unwinnable war scenario where each side can send intel back in time works.
I was going to say Exultant. You don’t really get many takes on time travel like Baxter’s. Paradoxes be damned.