Here is the full list of all 32 Boss 101 achievements.
Complete hat collection
Finish all hat quests
Adopt all the pets
Top Local Score on Mazard
Top Local Score on Tank War
Top Local Score on Breakdown
Complete weapon collection
Complete Boss 101's main story
Pass Level 31 and Boss 101
Dolphin partnership award
Beat every level in record time
Receive all visitors
Press the Do Not Press Button Seven Times
Listen to all kite hill dialog
Visit Gopher City for the first time
All gophers returned
Pass Level 30 and Mobius One
Every boss piece defeated
Purchase all Level 3 Guns
Get to level 20 in Endless Boss Iron Bot Mode
Pick Buzz Rainbow as a Pet Friend
Pass Level 20 and Back Track
Every Upgrade Complete
Listened to all BERL's tutorials
Get to level 20 in Endless Boss Arcade Mode
Pass Level 10 and Jolly Rog3r
Played one round of Endless Boss
Receive first visitor
Beat your first boss
First time on kite hill
Press the Do Not Press Button
Listen to the first tutorial