The Time Variance Authority from Loki exists in the DC Universe as well - but the Distinguished Competition pulls ahead of Marvel by making their time-policing agency more heroic than the TVA. The 2021 Disney+ show is best-known for introducing viewers to many new places and concepts, including the TVA and the Citadel at the End of Time (home to a variant of Kang the Conquerer). But beginning in The Adventures of Superman #475, with story and art by Dan Jurgens with colors by Glenn Whitmore, readers are introduced to the Linear Men.
In Loki, the TVA is an organization that polices time, albeit through draconian measures. In the aftermath of a great Multiversal War, the TVA was established by the Time Keepers who prioritized maintaining the "Sacred Timeline" by destroying all divergent timelines created through unlawful time travel. Unfortunately, Loki discovers the operation is nothin but a grand facade; the Time Keepers are simple robots and the so-called Sacred Timeline is simply a timeline in which all of the TVA's potential enemies are quashed before they can pose a threat. All of this is orchestrated by He Who Remains, a Kang variant who lives in the Citadel at the End of Time. Through the TVA, He Who Remains has eliminated countless other timelines - and thus, extinguished an incalculable amount of lives.
However, in the DC Universe, the Citadel is quite different. The fortress is known as the Vanishing Point - a station located at the literal end of time, exactly one attosecond before all of spacetime is consumed through entropy, the eventual (and inevitable) heat death of the universe. The station is manned by the Linear Men, one of whom makes their debut in The Adventures of Superman #475 while hunting for Booster Gold - the perennial time-traveling troublemaker - in 1991. It is later discovered that this particular Linear Man - Travis O'Connell - went rogue, and the real Linear Men are more heroic.
The Linear Men were created by Matthew Ryder (who will eventually become Waverider) and Rip Hunter during an experiment that went awry, knocking them both out of the timestream. In The Legacy of Superman story Vanishing Point, Waverider uses the Vanishing Point's computers to witness the death of Superman at the hands of Doomsday. Enraged that a hero like Superman would die so young, Waverider travels into the past to prevent it - but his alternate self Ryder follows him. "Part of me wants to save him too, Waverider. If anybody ever deserved our help in cheating death, it's Superman." But Ryder names other people as well - Albert Einstein, Dr. Martin Luther King Jr., and Albert Schweitzer - whom they ought to save as well; where does it end? Understanding his counterpart's point, Waverider reluctantly allows history to continue and Superman dies.
While the members of the TVA "prune" timelines with the attitude of working a regular office job, the members of the Linear Men clearly show compassion for those whom they cannot save for the sake of maintaining the timeline. The fact that Ryder has a conversation at all instead of simply berating his fellow (Linear) man shows they understand that human lives are at stake. Loki shows the concept of the Time Police at its worst, but DC shows them at their best.