I thought I might create this as I don't see any guides that do a complete list of all the achievements....at least ones that are finished

All the other guides that I've linked to belong to their rightful owners and if you'd like for me to remove it please let me know

You'll achieve all theses by simply progressing through the story as Batman

I'm Batman
Become the Bat


Acid Bath
Save the damsel, but is she in distress?


Savior
Save the medical volunteers


Chimney Sweep
There is only one way in


One-Armed Bandit
Hammer the point home


Communication Breakdown
Clear the airwaves


Gladiator
Last man standing


Wrecking Ball
Stop the unstoppable


Lost And Found
Uncover the secret of Arkham City


Sandstorm
We are legion


Hide And Seek
A deadly game of hide and seek


Ghost Train
Fight for your survival


Freefall
Don't look down


Exit Stage Right
All the world is a stage



You'll achieve all these by progressing through Catwoman's chapters in the main story alongside Batman's story

Arkham City Sirens
Drop in on an old friend


Pick Pocket
Steal the score of a lifetime


Family Jewels
Retrieve your stolen goods



(This campaign can be accessed from the main menu)

Lost Property
No crimefighter should be without this


Breaking and Entering
Find a way to the secret base


How's It Hanging?
Clean up the Dry Docks


The Last Laugh
The joke's on who?

You can find a complete guide for how to complete the side missions by Sgt. Campbell here

Also to help with the Riddler side mission Hoovyspenser made a guide for all the Riddler's secrets

Contract Terminated
Stop the contract operative


You'll achieve this by completing the side mission 'Shot in the Dark'

Serial Killer
Track down the serial killer


You'll achieve this once you've completed the side mission 'Identity Theft'

Mystery Stalker
Reveal the myster watcher


You'll achieve this by completing the side mission 'Watcher in the Wings'

Broken Toys
Destroy it all


You'll achieve this once you've completed the side mission 'Fragile Alliance'

Dial Z For Murder
Stop the phone booth killer


You'll achieve this by completing the side mission 'Cold Call Killer'

Stop the Clock
Time is running out


You'll achieve this by completing the side mission 'The Tea Party'

Bargaining Chip
Reunite the separated couple


You'll achieve this by completing the side mission 'Hear of Ice'

AR Knight
Complete all augmented reality training exercises


You'll achieve this by completing the side mission AR Training

Aggravated Assult
Stop the assults in Arkham City


You'll achieve this by completing the side mission 'Acts of Violence'

IQ Test
Solve the first riddle


You'll achieve this after solving the first riddle in the side mission 'Enigma Conundrum'

Conundrum
Rescue the first hostage from Riddler


You'll achieve this after saving the first hostage in the side mission 'Enigma Conundrum'

Mastemind
Rescue the second hostage from Riddler


You'll achieve this after saving the second hostage in the side mission 'Enigma Conundrum'

Puzzler
Rescue the third hostage from Riddler


You'll achieve this after saving the third hostage in the side mission 'Enigma Conundrum'

Intellectual
Rescue the fourth hostage from Riddler


You'll achieve this after saving the fourth hostage in the side mission 'Enigma Conundrum'

Brainteaser
Rescue the fifth hostage from Riddler


You'll achieve this after saving the fifth hostage in the side mission 'Enigma Conundrum'

Genius
Rescue all hostages from Riddles


You'll achieve this once you've saved all the hostages in the side mission 'Enigma Conundrum'

All these can be completed through the Riddler's Revenge on the main menu

If you need help to complete these predator challenges you can check out Plasma SKX's guide

Bronze Revenge
Obtain 24 medals on the origianl Arkham City ranked maps (as Batman)


Silver Revenge
Obtain 48 medals on the origianl Arkham City ranked maps (as Batman)


Gold Revenge
Obtain all 72 medals on the origianl Arkham City ranked maps (as Batman)


Campaign Bronze
Obtain 36 medals on the original Arkham city campaigns (as Batman)


Campaign Silver
Obtain 72 medals on the original Arkham city campaigns (as Batman)


Campaigm Gold
Obtain all 108 medals on the original Arkham city campaigns (as Batman)


Feline Revenge
Obtain all 72 medals on the original Arkham City ranked maps (as Catwoman)


Campaign Kitty
Obtain all 108 medals on the original Arkham City ranked maps (as Catwoman)


Robin Revenge
Obtain 78 medals on the original Arkham City and Robin Bundle Pack ranked maps (as Robin)


Campaign Wonder
Obtain 114 medals on the original Arkham City and Robin Bundle Pack ranked maps (as Robin)


Nightwing Revenge
Obtain 78 medals on the original Arkham City and Nightwing Bundle Pack ranked maps (as Nightwing)


Campaign Nightwing
Obtain 114 medals on the original Arkham City and Nightwing Bundle Pack ranked maps (as Nightwing)

Flawless Freeflow Fighter 2.0
Complete one combat challenge without taking damage (any character)


If you need some help Zsoki made a guide with some tips

Perfect Freeflow 2.0
Perform a perfect combo including all of batman's combat moves (any play mode)


If you need some help Kalesz made a guide with some useful tips

Gadget Attack
Use 5 different Quickfire gadgets in one fight (any play mode)


The gadgets you can use are Batarang, Bat Gel, Grapple, Electrical chrage and Freeze blast

All these ones can be completed in Harley's Revenge

Frequent Flyer
Zip Kick 5 different thugs


This can be done over the course of the campaign

Battering Ram
Shield Bash 5 different thugs


This can be done over the course of the campaign

Snap To It
Snap Flash an unarmed thug, an armed thug, an environmental object and a Titan


The unarmed thugs are the ones you usually see everywhere, armed thugs are the ones with guns, the environmental objects is found next to the sniper you need to pass during the campaign and the Titan is found as the final battle

Bomb Squad
Defuse all bombs in 3 minutes or less


To help with this Plasma SKX made a guide for it

A Few New Tricks
Use 5 different Quickfire gadgets in one fight as Robin in Harley Quinn's Revenge


These don't have to be used in one combo, just one fight. The gadgets you must use are Zip Kick, Explosive Gel, Snap Flash, Bullet Shield and Shuriken

Twice Nightly
Complete New Game Plus


You can unlock New Game Plus once you've completed the main campaign once (on Normal or Hard)

Pay Your Respects
A moment of remembrance


To help find this Super Bad made a guide for it

Storyteller
Have 12 Murderous dates with Calender Man


If you wish to know how to do this achievement The Hero of Gotham made a guide for it

Perfect Knight - Day 2
Complete every challenge in Arkham City - Main Story, Side Missions, Upgrades, Collectables, New Game Plus and Riddlers Revenge (as Batman)


Fully Loaded
Collect all of Batman's gadgets and upgrades


You can get these through completing the main campaign, side missions and leveling up

Party's Over
Destroy all Harley Balloons


If you wish to know where all the locations for them are CityofRapture246 made a guide for it

Sphinx Riddle
Complete all 40 of the Catwoman Riddler grid items


If you wish to know the locations of them Hoovyspenser made a guide for it