Here is the full list of all 30 Paint the Town Red achievements.
Defeat The End
Complete an Arena challenge
Reach Fire & Blood I
Defeat the Trickster
Reach The Construct
Defeat the Aberration
Destroy the Jerk
Upgrade one of the Beneath classes
Capture the Pursuer
Reach Islands I
Defeat the Necromancer
Reach Ruin I
Complete the Western Saloon in Challenge mode
Complete the Pirate Cove in Challenge mode
Complete the Prison in Challenge mode
Complete the Disco in Challenge mode
Complete the Biker Bar in Challenge mode
Reach Crystal Caverns I
Unlock a permanent upgrade in Beneath
Defeat a Shard Lord
Rescue the Apostate
Complete a Scenario level without modifiers
Enter Beneath for the first time
Die for the first time in Beneath
Complete 3 Arena challenges
Complete 5 Arena challenges
Complete the Biker Bar in Challenge mode in under 3:30
Complete the Prison in Challenge mode in under 2:30 minutes
Complete the Saloon in Challenge mode in under 3:30 minutes
Complete Arena Challenge 1 in under 9:30 minutes