Here is the full list of all 14 Weapon of Choice achievements.
Kill 10 enemies with the SPIKE LIFT.
Use the SMOKE WALK for the maximum time.
Rescue every Solus Operative.
Shoot 5 birds.
Kill 10 aliens while hanging by the SPIDER PACK.
Rescue someone and get them out of the level.
Beat all branches.
Beat the Evil Sun.
Beat level 1 (Mountain Village) in under 1 minute and 10 seconds.
Collect all MBG pies.
Use Xerxes to reach a boss without touching the ground.
Beat a game branch only killing bosses.
Beat a game branch without activating death-brushing.
Beat all branches in MEGA-WICKED difficulty.