Sub 3:40!!! Sucks that right at the end I lost a minute because of a Riddler trophy that bugged and didn't autosave after getting it. Other timeloss is from some Zsasz phones being a little slow, but overall, it was very good RNG on both phones and political prisoners.
Batman: Arkham City 100% is the Main Story and 12 Side Missions, which includes: 400 Riddles, 16 Political Prisoners (RNG), 6 Zsasz phones (RNG), 6 Titan containers, 5 AR missions, Freeze's wife, Freeze Cluster, Remote Detonator, Mad Hatter, Azrael, Hush, and Deadshot.
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Leaderboard: https://www.speedrun.com/arkhamcity#100