Primer?
Plenty.
See The Man Who Folded Himself by David Gerrold where it happens to the Nth degree.
Well, there’s Primer (2004). It’s all over the place.
Predestination (2014) is arguably an even more extreme example.
Otherwise you can find several examples on the TV Tropes page about stable time loops.
Warning: TV Tropes itself is like a time loop, in that it’s easy to enter but impossible to exit.
ETA: Ninja’ed on Primer. But the concept of ninja’ed itself naïvely assumes a linear timeline. Hmmm.
And of course, there’s Temporal Fugue combat from Roger Zelazny’s Creatures of Light and Darkness. A Fugue master can send himself several seconds back in time, attacking an enemy before they start moving; furthermore, by changing the immediate past he can create duplicates of himself, so that several seconds before the start of combat, he can create a clone army. A pair of Fugue masters fighting each other can do damage on a planetary level before reality reasserts itself.
Only in Gordon Dickson stories
‘All You Zombies’ by Heinlein?
Isn’t it also pretty much a point of Tenet? The protagonist is even told, “Don’t try to understand, feel it” 
I also recommend Time crimes (a Spanish film; original name Chrono crimenes). I’m a real stickler for plot holes in my time travel movies, and it checks out; a lot of stuff that seems odd on first viewing checks out on a repeat watch.