Here is the full list of all 20 Ultimate Arena achievements.
Have 10 Events in your Library
Have 100 Fighters in your Library
Click the Facebook button on the Main Menu
Click the Twitter button on the Main Menu
Visit the Github page for Ultimate Arena
Have 200 Fighters in your Library
Have 500 Fighters in your Library
Have 1000 Fighters in your Library
Have 30 Events in your Library
Kill 50 Fighters with Landmines in a Single Game
Kill 90 Fighters with Landmines in a Single Game
Reach 500 Updates in a Single Game
Reach 1000 Updates in a Single Game
Reach 60 Homicides in a Single Game
Reach 80 Homicides in a Single Game
Have a Fighter get off Mr. Troy's Wild Ride
Have a Single Game last a Week.
Have a Single Game last 10 Days
Read the Credits
Have a Fighter Reach -50% Sanity