Back to the Future to Primer to Tenet. The sub-genre whose central premise is the impossible re-ordering of cause and effect.
Time-travel sci-fi is the sub-genre whose central premise is the impossible re-ordering of cause and effect. The form has produced some of the most-formally-inventive films in mainstream cinema. The films below are the ones that earned their central premises rather than treating time travel as plot convenience.
Successful time-travel films require, almost always, internal consistency within the rules the film establishes. The audience will accept any specific time-travel mechanics the film proposes, but they will not accept inconsistency with those mechanics across the runtime. The films that succeed are the ones that work out their rules carefully and stick to them. Primer is the canonical example — Shane Carruth's screenplay tracks the exact temporal mechanics across multiple looped iterations, with sufficient discipline that audiences usually require multiple viewings simply to follow the timeline.
The films that fail in the genre are the ones that establish rules and then break them when the plot requires. Most studio time-travel films do this. The Back to the Future sequels, the Avengers: Endgame time-travel mechanics, the X-Men: Days of Future Past framework — all involve internal inconsistencies that audiences can spot on close inspection. The films work commercially despite the inconsistencies because the audience's tolerance for paradox is higher than critics often credit. But the films are not, in the technical-genre sense, well-constructed time-travel cinema.