These criminals serve as side missions for Batman to investigate. Finding them will either end in a combat room, predator room, or just a simple hunting mission. Finishing them moves you towards game completion and unlocks some perks as well.
MAD HATTER
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Availability: Clear the GCPD mission, then be greeted by the Mad Hatter's minions.
Follow the waypoint, defeat the guards, then pull out the vent and enter. Head out to the right, beat more of his minions, talk to Mad Hatter and visit his Wonderland. Avoid the electrified floor, reach the end, wait for the electricity to go out, then batarang the lanterns. Continue ahead, passing more electrified floors, jump up, shimmy to the right, drop down and enter a door. Looking through the keyhole, then look for the rabbit in the mirror, enter the door. Head all the way back, staying away from the mirror while fighting the enemies until the mirror breaks. Enter the door, keep following the path, use the explosive gel, ride the lilypad, shoot batclaw and pull yourself towards the door. Jump, shimmy across, duck down, get on the zipline, reach the end, then run as fast as you can. Enter the new door, remote claw your way across, then smash the grandfather clock. Again, remote claw your way to reach the door, jump properly, time another good jump, head right, face up, then left, grapple up, go to the pipes, continue to the left, enter the door, then use reverse Batarang to take out the Mad Hatter.
BIRD
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Availability: Exit the MORGUE after the mission.
This is a very simple mission, just follow the waypoints and beat up the enemies. The path leads you first into an abandone building, then much further in a playhouse-looking area. Again, for the brawls, basic combat rules apply, press Y when the blue prompts from enemies appear, press left stick + A to evade, or if you want to complete the brawl much faster concetrate all your attacks on a big guy, super cape him by pressing B 3x, then punch away multiple times until you can activate shock gloves by pressing left stick + right stick. in the combat brawls until you finally meet Bird, who is actually just a pushover grouped together with some armed enemies. There is nothing notable in the Bird fight, it is just a normal brawl. This brawl is fastest to finish by just activation the shock gloves by punching a big guy using X multiple times untilk you can activate the shock gloves by pressing L + R. Just proceed as you wish.
ANARKY
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Availability: After beating Deathstroke, find the Anarky follower up on the crow's nest of the ship outside.
First up, go outside of the ship after beating up Deathstroke, talk to the guy located up above the crow's nest of the ship, then follow the marker, stop the bad guys at the marked area and disarm the first bomb. For the next bomb, you will have 3:45 to reach it, it is very generous actually and you should be able to reach it in time. Stop the 8 guys guarding the area first. Now you will be given 2:40 for the next bomb, again juts make it in time and stop the 10 enemies around. Finally, go to the marked Courthouse, enter by the back entrance, then go about wasting Anarky and his men. To avoid the stun rods, simply batarang them or evade from them. Again, for the brawls, basic combat rules apply, press Y when the blue prompts from enemies appear, press left stick + A to evade, or if you want to complete the brawl much faster concetrate all your attacks on a big guy, super cape him by pressing B 3x, then punch away multiple times until you can activate shock gloves by pressing left stick + right stick.
THE PENGUIN
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Availability: After the GCPD mission, Barbara Gordon will radio Batman to disarm weapon caches of The Penguin.
The marked areas are pretty easy to find so long as you follow the waypoints provided. You will flying across Gotham, and just press A, A while doing the grappling hook to move faster and end up flying straightaway. Again, for the brawls, basic combat rules apply, press Y when the blue prompts from enemies appear, press left stick + A to evade, or if you want to complete the brawl much faster concetrate all your attacks on a big guy, super cape him by pressing B 3x, then punch away multiple times until you can activate shock gloves by pressing left stick + right stick. Each weapon cache naturally has some guards protecting it. Take out the riot shield guys by doing B, A x2 to jump over and hit the enemy. Go about normally and you should be able to finish this easy mission asap.
BLACK MASK
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Availability: After exiting out of the Steel Mill.
Basically plays out like the Penguin missions, but instead of weapon caches you are looking for drug stashes. Simply follow the markers and beat the enemies patrolling the area first, then grab the drug stashes. Very straightforward mission indeed. The Black Mask combat brawl is your usual battle as well, so proceed normally as you do on fistfights. For the brawls, basic combat rules apply, press Y when the blue prompts from enemies appear, press left stick + A to evade, or if you want to complete the brawl much faster concetrate all your attacks on a big guy, super cape him by pressing B 3x, then punch away multiple times until you can activate shock gloves by pressing left stick + right stick.
DEADSHOT
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Availability: Finish the Steel Mill mission, then Alfred will inform you of an S.0.S., follow this mission to start the hunt.
Go down the crash site below and look for a remains. Return to the roof, scan the railings, rewind the scene, find the tail, glide over to the building northeast from you, then track the origin of the bullet, scan the bullet, crack the code, then go to the bank. Deadshot will face you in a predator room. Stay on top of the gargoyles and proceed as usual. Be mindful of his infrared sights bouncing across the room, since he likes to ricochet bullets to hit you. For the last part, Deadshot will take a hostage. If you are fast, you can take out the last guy then quickly approach Deadshot from the side corridors and throw a smoke pellet, then take him out from behind. Otherwise, take out his minions first, then wait for him to aim his laser away from him, then go for the kill.
BLACKGATE PRISONERS
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Availability: Finish all Casefiles, Gordon will radio you and ask for assistance to catch 20 inmates. Simply follow the waypoints and ambush the targets. They walk around with some minions. For the brawls, basic combat rules apply, press Y when the blue prompts from enemies appear, press left stick + A to evade, or if you want to complete the brawl much faster concetrate all your attacks on a big guy, super cape him by pressing B 3x, then punch away multiple times until you can activate shock gloves by pressing left stick + right stick. Always take out the target lastly, since it glitches out sometimes if you try to beat the target while the minions are still around.
SHIVA
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Availability: Finish the Bank mission, follow the voice of a baby crying and check out the stroller.
Head to the marked building and go in. Search to the left for a broken fence, smash the fuse box, beat the 3 ninjas using your counters, remote claw to other side, beat more enemies , then come back and batarang the officer. Keep following the blood trail until you reach the remains, examine it , then face Shiva. For the brawls, basic combat rules apply, press Y when the blue prompts from enemies appear, press left stick + A to evade, or if you want to complete the brawl much faster concetrate all your attacks on a big guy, super cape him by pressing B 3x, then punch away multiple times until you can activate shock gloves by pressing left stick + right stick. Just avoid the ninjas' swords by doing the blade dodge, or it's much better if you have the Blade Takedown ready, so you can escape and fight back asap. When Shiva's life is halved, she will summon the martial artists, just use the same strategy above while countering twice. Once her life is gone, she will keep fighting you until the next cutscene happens.
ENIGMA
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Availability: During the start of the game where you need to deactivate a JAMMING TOWER.
Find all GCR Cooms Towers, Network Relays, and Datapacks to complete this task. Follow the separate guides on how to get them all.