Batman: Return to Arkham has 117 achievements worth 2500 gamerscore

Batman: Arkham Asylum

There are 47 achievements with a total of 1000 points.

Freeflow Combo 5 0 Complete a combo of 5 moves (any play mode)	5
Shocking Rescue 0 Take down Zsasz in the Patient Pacification Chamber	10
Leave No Man Behind 0 Rescue the guards and henchman from the Joker toxin in Decontamination	10
Malpractice Needs More Practice 0 Survive the onslaught from the deformed Joker henchman	10
Born Free 0 Escape from Intensive Treatment to the island surface	10
Just What The Doctors Ordered 0 Save all the doctors in Medical	10
Daydreamer 0 Survive the nightmare of the Scarecrow's fear gas	10
Baneful Payback 0 Defeat Bane	25
Breaking And Entering 0 Gain access to Arkham Mansion after it is locked down by the Joker	10
Recurring Nightmare 0 Face your biggest fears and keep your sanity	10
Zsasz Cut Down To Size 0 Save Dr. Young from being killed by Victor Zsasz	10
Solitary Confinement 0 Capture and lock up Harley Quinn	25
Double Trouble 0 Defeat two Titan Henchmen at once	25
Resist The Fear 0 Conquer the effects of the Scarecrow's fear gas	50
Crocodile Tears 0 Venture into Killer Croc's lair and come out alive	50
Poisoned Ivy 0 Defeat the giant Titan Ivy plant	50
Big Bang 0 Complete story mode on Easy difficulty	50
Bigger Bang 0 Complete story mode on Normal difficulty	50
Biggest Bang 0 Complete story mode on Hard difficulty	50
Party Pooper 0 KO all the henchmen celebrating your arrival at the party	10
Freeflow Combo 20 0 Complete a combo of 20 moves (any play mode)	10
Freeflow Combo 40 0 Complete a combo of 40 moves (any play mode)	10
Night Glider 0 Glide continuously for over 100m	5
Rope-A-Dope-A-Dope 0 String up one henchman and drop him to surprise a second (any play mode)	10
Mano-A-Mano 0 Defeat Titan henchman without using Batarangs (any play mode)	10
Catch! 0 Catch a Batarang (any play mode)	5
Freeflow Combo 10 0 Complete a combo of 10 moves (any play mode)	5
Freeflow Perfection 0 Perform a perfect combo including all of Batman's combat moves (any play mode)	10
Freakshow Rodeo 0 Ride Titan henchman and knock down 10 thugs (any play mode)	10
Freeflow Bronze 0 Achieve 8 medals on combat challenges	10
Freeflow Silver 0 Achieve 16 medals on combat challenges	25
Freeflow Gold 0 Achieve 24 medals on combat challenges	50
Predator Bronze 0 Achieve 8 medals on predator challenges	10
Predator Silver 0 Achieve 16 medals on predator challenges	25
Predator Gold 0 Achieve 24 medals on predator challenges	50
Invisible Predator 0 Complete one predator challenge by using only Silent Takedowns and without being detected	10
Flawless Freeflow Fighter 0 Complete one combat challenge without taking damage	10
Crack The E Nigma 0 Solve every riddle on the island	20
Arkham Analyst 0 Solve 5% of Riddler challenges	20
Cryptic Investigator 0 Solve 10% of Riddler challenges	20
Lateral Thinker 0 Solve 25% of Riddler challenges	20
Mystery Solver 0 Solve 40% of Riddler challenges	20
Conundrum Cracker 0 Solve 55% of Riddler challenges	20
Mental Athlete 0 Solve 70% of Riddler challenges	20
Riddle Resolver 0 Solve 85% of Riddler challenges	20
World's Greatest Detective 0 Spirit of Amadeus Arkham revealed	20
Perfect Knight 0 100% Complete	75

Batman: Arkham City

There are 70 achievements with a total of 1500 points.

I'm Batman 0 Become the Bat	10
Acid Bath 0 Save the damsel, but is she in distress?	10
Savior 0 Save the medical volunteers	10
Chimney Sweep 0 There is only one way in	10
One-Armed Bandit 0 Hammer the point home	10
Communication Breakdown 0 Clear the airwaves	10
Gladiator 0 Last man standing	10
Wrecking Ball 0 Stop the unstoppable	25
Lost And Found 0 Uncover the secret of Arkham City	10
Sandstorm 0 We are legion	25
Hide And Seek 0 A deadly game of hide and seek	25
Ghost Train 0 Fight for survival	25
Freefall 0 Don't look down	25
Exit Stage Right 0 All the world is a stage	50
Forensic Expert 0 Collect enough evidence to locate the gun for hire	10
Contract Terminated 0 Stop the contract operative	25
Serial Killer 0 Track down the serial killer	25
Mystery Stalker 0 Reveal the mystery watcher	15
Distress Flare 0 Answer the call for help	5
Broken Toys 0 Destroy it all	25
Ring Ring 0 Answer a ringing phone	5
Dial Z For Murder 0 Stop the phone booth killer	25
Stop the Clock 0 Time is running out	15
Bargaining Chip 0 Reunite the separated couple	15
AR Knight 0 Complete all augmented reality training exercises	25
Fully Loaded 0 Collect all of Batman's gadgets and upgrades	10
Aggravated Assault 0 Stop all assaults in Arkham City	10
IQ Test 0 Solve the first riddle	10
Conundrum 0 Rescue the first hostage from Riddler	20
Mastermind 0 Rescue the second hostage from Riddler	20
Puzzler 0 Rescue the third hostage from Riddler	30
Intellectual 0 Rescue the fourth hostage from Riddler	30
Brainteaser 0 Rescue the fifth hostage from Riddler	40
Genius 0 Rescue all the hostages from Riddler	50
Bronze Revenge 0 Obtain 24 medals on the original Arkham City ranked maps (as Batman)	10
Silver Revenge 0 Obtain 48 medals on the original Arkham City ranked maps (as Batman)	20
Gold Revenge 0 Obtain all 72 medals on the original Arkham City ranked maps (as Batman)	40
Campaign Bronze 0 Obtain 36 medals on the original Arkham City campaigns (as Batman)	10
Campaign Silver 0 Obtain 72 medals on the original Arkham City campaigns (as Batman)	20
Campaign Gold 0 Obtain all 108 medals on the original Arkham City campaigns (as Batman)	40
Flawless Freeflow Fighter 2.0 0 Complete one combat challenge without taking damage (any character)	5
Twice Nightly 0 Complete New Game Plus	75
Gotham Base Jumper 0 Jump off the tallest building in Arkham City and glide for 1 minute without touching the ground.	5
Pay Your Respects 0 A moment of remembrance	5
Storyteller 0 Have 12 murderous dates with Calendar Man	10
Catch 0 Find someone to play remote Batarang catch with	5
50x Combo 0 Complete a combo of 50 moves (any play mode, any character)	5
Perfect Freeflow 2.0 0 Perform a perfect combo including all of Batman's combat moves (any play mode)	5
Gadget Attack 0 Use 5 different Quickfire gadgets in one fight (any play mode)	5
Perfect Knight - Day 2 0 Main Story, Side Missions, Upgrades, Collectables, New Game Plus and Riddler's Revenge (as Batman)	75
Sphinx' Riddle 0 Complete all 40 of the Catwoman Riddler grid items	10
Arkham City Sirens 0 Drop in on an old friend	25
Pick Pocket 0 Steal the score of a lifetime	25
Family Jewels 0 Retrieve your stolen goods	40
Feline Revenge 0 Obtain all 72 medals on the original Arkham City ranked maps (as Catwoman)	25
Campaign Kitty 0 Obtain all 108 medals on the original Arkham City campaigns (as Catwoman)	25
Robin Revenge 0 Obtain 78 medals on the original Arkham City and Robin Bundle Pack ranked maps (as Robin)	25
Campaign Wonder 0 Obtain 114 medals on the original Arkham City and Robin Bundle Pack campaigns (as Robin)	25
Nightwing Revenge 0 Obtain 78 medals on the original Arkham City and Nightwing Bundle Pack ranked maps (as Nightwing)	25
Campaign Nightwing 0 Obtain 114 medals on the original Arkham City and Nightwing Bundle Pack campaigns (as Nightwing)	25
Lost Property 0 No crimefighter should be without this	20
Breaking and Entering 0 Find a way into the secret base	20
How's It Hanging? 0 Clean up the Dry Docks	20
The Last Laugh 0 The joke's on who?	40
Frequent Flyer 0 Zip Kick 5 different thugs	10
Battering Ram 0 Shield Bash 5 different thugs	10
Snap To It 0 Snap Flash an unarmed thug, an armed thug, an environmental object and a Titan	20
Bomb Squad 0 Defuse all bombs in 3 minutes or less	40
A Few New Tricks 0 Use 5 different Quickfire gadgets in one fight as Robin in Harley Quinn's Revenge	20
Party's Over 0 Destroy all Harley Balloons	50