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