These are all of the skills learned by Alchemists.

Block - Already learned
Melee Attack - Already learned
Poison Shot - Already learned
Magic Circle - Level 3
Endurance - Level 3
Acid Spray - Level 5
Make Potion - Level 5
Fire Bomb - Level 8
Build Golem - Level 10
Transmute - Level 10
Quagmire - Level 13
Guarded Watch - Level 15
Stone Gaze - Level 15
Chain Lightning - Level 18
Detonate Golem - Level 20
Mind Wrack - Level 25