Here is the full list of all 32 Rabbit and Steel achievements.
Collect 30 Trinkets
Win a run on Lunar Mode
Beat the King's Arsenal on Lunar Mode
Beat the Churchmouse Streets on Lunar Mode
Beat the Red Darkhouse on Lunar Mode
Beat the Emerald Lakeside on Lunar Mode
Free Shira from the Spell
Help break the Spell on the Crows
Help break the Spell on the Mice
Help break the Spell on the Frogs
Beat the Emerald Lakeside on Normal Mode
Help break the Spell on the Wolves
Help break the Spell on the Dragons
Beat the Scholar's Nest on Lunar Mode
Beat the King's Arsenal on Normal Mode
Collect 20 Trinkets
Win a run on Hard Mode
Beat the Churchmouse Streets on Hard Mode
Beat the Scholar's Nest on Hard Mode
Beat the Red Darkhouse on Hard Mode
Beat the Emerald Lakeside on Hard Mode
Beat the King's Arsenal on Hard Mode
Collect 10 Trinkets
Win a run on Normal Mode
Beat the Red Darkhouse on Normal Mode
Beat the Churchmouse Streets on Normal Mode
Beat the Scholar's Nest on Normal Mode
Collect 40 Trinkets
Collect the Moonlight Floofball
Unlock all of the Music Room tracks
Unlock all of the Adept Palettes
Unlock all of the Master Palettes