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.