These trophies require that a small puzzle or challenge be solved before they can be acquired.
Founders’ Puzzle Trophy 
Race from the start on Bleake Island to the finish on Founders’.
Founders’ Puzzle Trophy 
Finish.
Founders’ Puzzle Trophy 
Power Winch and Line Launcher puzzle.
Founders’ Puzzle Trophy 
Founders’ Puzzle Trophy 
Race from the start high up here to the finish under the streets.
Founders’ Puzzle Trophy 
Finish.
Founders’ Puzzle Trophy 
Power Winch puzzle.
Founders’ Puzzle Trophy 
Founders’ Puzzle Trophy 
Begin Batman Forensic Scanner pulse trail.
Founders’ Puzzle Trophy 
Finish.
Founders’ Puzzle Trophy 
Riddler robot Voice Synthesizer puzzle.
Founders’ Puzzle Trophy 
Riddler robot switch puzzle.
Founders’ Puzzle TTrophy 
Batmobile Power Winch reveals trap room.
Founders’ Puzzle Trophy 
Begin Batmobile Forensic Scanner pulse trail.
Founders’ Puzzle Trophy 
Finish.
Founders’ Puzzle Trophy 
Riddler robot Voice Synth puzzle that requires blinding a sentry gun with the Remote Hacking Device.
Founders’ Puzzle Trophy 
Power Winch ball puzzle.
Founders’ Puzzle Trophy 
Race from the start here in Miagani Island to the finish in Founders’.
Founders’ Puzzle Trophy 
Finish.
Founders’ Puzzle Trophy 
Riddler robot puzzle crate.
Founders’ Puzzle Trophy 
Puzzle requiring the Remote Batmobile, Power Winch, and Remote Batarang.