Here is the full list of all 45 Crawl achievements.
Kill a total of 100 monsters
Win an intro battle without ever moving
Min your hero's agility
Max out your hero's strength
Spend a total of 1000 gold
Discover 25% of entries in the vault
Regain your humanity 10 times
Defeat a boss while nauseated
Regain your humanity 50 times
Regain your humanity 100 times
Slay all other heroes in an intro battle with 3 hard bots
Get a kill streak of 12 against 3 hard bots
Kill a total of 666 monsters
Spend a total of 5000 gold
Spend a total of 10000 gold
Discover 50% of entries in the vault
Discover all entries in the vault
Slay a giant monster with a pebble
Slay a giant monster with a boulder
Discover all weapons in the vault
Clear out a store by buying every item
Pass a vault challenge
Pass 10 vault challenges
Pass all the vault challenges
Pass the Gargoyle challenge
Pass the Spikewurm challenge
Pass the Necromancer challenge
As a gnome, mine a total of 10 gold from heroes
Win a 1 on 1 battle against the hero, while both wielding bows
Taunt Glub and win against 3 hard bots
Taunt S'hrim and win against 3 hard bots
Taunt Qaahl and win against 3 hard bots
Taunt Gor and win against 3 hard bots
Taunt Gholoth and win against 3 hard bots
Damage Kourok's exposed brain with a bomb creature
Defeat Kourok without hitting any bombs into him
Defeat Kourok, playing against 3 hard bots
Defeat Ghidraak, playing against 3 hard bots
Defeat Tezekcal, playing against 3 hard bots
Defeat a boss while bleeding for the entire fight
Win a game without ever dying
Kill 3 monsters with a single crossbow bolt
Get two tombstone powerups on one monster
Defeat Ghidraak with more health than when you started
Achieve the victory screen title "Infinite Horror"