Here is the full list of all 28 Crisis on the Planet of the Apes achievements.
Complete the Tutorial level
Complete Main Entrance
Complete the Prison Camp
Complete the Warehouse
Complete the Slaughterhouse
Complete the Rooftops
Complete the Comm Tower
Beat Reynolds' Helicopter
Equip the assault rifle
Equip the shotgun
Kill 5 enemies with one clip
Attempt to escape the Main Entrance
Kill 5 enemies with headshots
Kill 10 enemies with headshots
Kill 50 enemies with headshots
Travelled 1 kilometer
Complete every level of the game on any difficulty
Escape the Prison Camp on Easy difficulty
Escape the Prison Camp on Medium difficulty
Escape the Prison Camp on Hard difficulty
Complete the Cage Area in under 2 minutes
Complete the Warehouse in under 3 minutes
Complete Slaughterhouse in under 2 minutes
Complete the Rooftops in under 5 minutes
Complete the Comm Tower in under 12 minutes
Beat Reynolds' Helicopter in less than 5 minutes
Die 10 times
Pound chest and roar 5 times