Here is the full list of all 31 101 Ways to Die trophies - there are 14 bronze, 11 silver, 5 gold and 1 platinum.
Complete all Bio Zone Laboratories
Amass 100 Stars
Kill a Tank, Alpha and Rapid within one second
Complete all Control Room Laboratories
Flatten 50 Splatts with a Boulder
Claim your first 101 kills
Complete all Basement Laboratories
Achieve a three star rating for all Laboratories in any zone
Discover 10 WTDs
Claim your first 50 victims
Spill 1000 litres of blood
Complete all Graduate and Master Objectives in a Laboratory
Achieve your first three star rating
Achieve a x4 combo
Complete a Basement Laboratory
Discover your first WTD
Complete the Training Laboratories
Kill your first Splatt
Perform your first combo
Unlock all other Trophies
Claim your first 1000 kills
Complete all Sector Zero Laboratories
Complete all Laboratories
Discover 50 WTDs
Discover all 101 WTDs
Achieve a three star rating for all Laboratories in every zone
Kill 50 Splatts with the Cannon
100 Splatts impaled on Spikes
50 Splatts killed in a Lava Pit
Kill a Splatt whilst it's stunned
10 Cakes completely consumed