Here is the full list of all 27 Titan Souls achievements.
Slay all Titans in Iron Mode
Beat the game in Iron Mode
Beat the game in Iron Mode with New Game+
Beat the game in under 20 minutes
Beat the game without rolling rolling rolling (in No Roll mode)
Beat Hard Mode
Trigger the Guardian's switches with the wrong hands and kill it
Kill the Brain with a flaming arrow
Succumb to the effect of spores for 30 seconds total
Kill the Sludge titan with no more possible divisions
Drop a bomb on the Lava Blob Titan's head
Produce 50 coins in the Chest fight
Cut all the vines off the Plant Titan
Kill the Broken Statue Titan while pulling back the arrow
Kill the Knight after destroying all pillars
Destroy all icebergs
Remove all teeth from the Mountain Titan then kill it
Kill the Rolling Titan in under 5 seconds
???
Finish in under 10 seconds...
Kill the Skull Titan as it spins
Beat the Game
Kill the Eye Cube while pulling back the arrow
Slay a Titan
Open the first Sealed Gate
Knock yourself out in the battle for the Titan Soul
Open the second Sealed Gate