Here is the full list of all 14 Gargoyles Remastered achievements.
Defeat the Viking Demi-Sorceror
Defeat the mutant viking invading the rookery
Defeat the Eye of Odin in the elevator
Defeat the Steel Clan and Crimson Clan mechanical gargoyles
Travel through the foundry and confront Demona controlled by the Eye of Odin
Defeat Demona and the Eye of Odin
Beat the game on hard mode
Defeat one of each type of robot
Collect a total of 10 chalices or gobelets
Defeat a total of 30 vikings
Defeat a total of 30 robots
Defeat two enemies using the Hawk Dive special move
Defeat a total of 5 enemies in the same level using the Shoulder Roll special move
Defeat a boss without taking any damage