Here is the full list of all 44 LEAP trophies - there are 26 bronze, 15 silver, 2 gold and 1 platinum.
Acquire all trophies
Achieve Level 10
Achieve Level 50
Achieve Level 100
Achieve Level 200
Achieve Level 300
Achieve Level 400
Achieve Level 500
Achieve Level 1000
Win 10 matches on Mount Borealis
Win 10 matches on Horizon
Win 10 matches on Haze
Win 10 matches on Mirage
Win 10 matches on Redrock
Win 10 matches on Cataclysm
Win 10 matches on Thunder Valley
Win 10 Stomping Grounds matches
Win 10 Control matches
Win 10 Capture The Core matches
Win 10 Asset Assassination matches
Win 10 Team Annihilation matches
Obtain 100 golden weapons
Acquire 100 reinforcement drops
Be the top player in a match 100 times
Achieve 5 grenade kills in 1 match
Achieve 1000 grenade kills
Use 4 ultimate abilities in 1 match
Use 1000 ultimate abilities
Perform 10 revives in 1 match
Perform 1000 revives
Achieve 30 eliminations in one match
Achieve 10,000 eliminations
Eliminate 500 Wraiths
Eliminate 500 Pathfinders
Eliminate 500 Titans
Eliminate 500 Tech Ops
Acquire 100,000 XP with all 4 original classes
Acquire 1,000,000 XP with all 4 original classes
Achieve 10 headshot kills in 1 match
Achieve 100 headshot kills
Achieve 1000 headshot kills
Use the dash ability 50 times in 1 match
Use the dash ability 1000 times
Use the dash ability 50,000 times