Pre-Anderson Time Travel

HG Wells wrote not only The Time Machine but also "The Chronic Argonauts" which featured, or maybe even introduced, the circular causality paradox. See here. In several ways, Poul Anderson's Time Patrol series is like an updated The Time Machine:

the Patrol's timecycles are like modernized or futuristic versions of the nineteenth century contraption, retaining the feature that the time traveler sits on, not inside of, the vehicle;

humanity evolves into Danellians instead of devolving into Morlocks and Eloi;

the series addresses the curious possibilities of anachronism and of utter confusion that Wells had only hinted at;

Patrol members deliberately close causal circles in order to prevent causality violations;

Wells never wrote a sequel whereas Anderson created an increasingly elaborate series;

Manse Everard's first mission as a Time Patrol agent takes him initially to the year in which The Time Machine was published.

If nothing else, read The Time Machine, then Time Patrol.