Here is the full list of all 15 Yars: Recharged achievements.
Complete Arcade Mode
Complete a level under 20 seconds
Complete a level without losing a life
Complete half of the missions
Complete all missions
Destroy 50 Qotile Cores
Destroy 200 Silorak Cores
Destroy 150 shields by nibbling
Destroy the Swirl
Get killed while operating the Zorlon Cannon
Reach 10000 score in Arcade
Reach 20000 score in Arcade
Reach 40000 score in Arcade
Shoot the Zorlon Cannon 100 times
Use all powerups