Here is the full list of all 32 Boss 101 achievements worth 1,000 gamerscore. It takes around 6-8 hours to unlock all of the achievements on Xbox One.
Pick Buzz Rainbow as a Pet Friend
Every Upgrade Complete
Beat every level in record time
Complete weapon collection
Pass Level 31 and Boss 101
Complete Boss 101's main story
Get to level 20 in Endless Boss Iron Bot Mode
Visit Gopher City for the first time
Purchase all Level 3 Guns
Pass Level 30 and Mobius One
Dolphin partnership award
All gophers returned
Receive all visitors
Pass Level 20 and Back Track
Listened to all BERL's tutorials
Top Local Score on Mazard
Pass Level 10 and Jolly Rog3r
Played one round of Endless Boss
Receive first visitor
Listen to all kite hill dialogs
Beat your first boss
Press the Do Not Press Button Seven Times
Press the Do Not Press Button
First time on kite hill
Listen to the first tutorial
Every boss piece defeated
Complete hat collection
Top Local Score on Tank War
Top Local Score on Breakdown
Adopt all the pets
Finish all hat quests
Get to level 20 in Endless Boss Arcade Mode