The game can fail to log these, and some players have had to repeat moves many times. Land them in the story's predator rooms, or in predator AR maps started from their marker in the city. Never use the AR select on the main menu: those runs mostly aren't saved. In an AR map, beat every enemy and return to the city instead of pressing retry. Don't end a move with a knockout smash, which counts as its own move. Takedowns made with the Freeze Blast, Explosive Gel, Disruptor or Remote Hacking Device aren't on the list. The items below point out each predator room, and Predator Fundamentals on the Falcone Shipping roof is the quickest place for most of the list.