Here is the full list of all 23 Phantom Fury achievements.
Defeat a Heavy Soldier using only the stun baton
Retrieve the Demon Core
Destroy a helicopter
Get off the train in 10 minutes or less
Get a strike in the Chicago Mall bowling lanes
Get a prize from the claw machine
Beat the Turbo Killer arcade game
Get 1000 points in the Super Racer 4 arcade game
Get the basketball in the hoop
Hit dartboard right in the center 3 times in a row
Consume the whole ammo capacity of a heavy weapon
Picked up all weapons
Complete the game
Complete the game on Easy or higher
Complete the game on Medium or higher
Complete the game on Hard
Begin a game on the hardest difficulty
Defeat the Los Alamos Defender
Defeat the Psychic Giant
Defeat the Colonel
Defuse the Demon Core Bomb
Defeat the Mech
Kill a Grunt with a Barbell