There are 19 Trophies that can be collected.

BRONZE

Shot With Their Pants Down
Kill an enemy while they are reloading

Make the Cut
Win a knife fight

Eye to Eye
Kill a zoomed-in enemy sniper with a sniper rifle of your own

SILVER

Bunny Hunt
Kill an airborne enemy

Magic Bullet
Kill an enemy with the last bullet in your magazine (excluding sniper rifles and Zeus x27)

Blind Fury
Kill an enemy while you are blinded from a flashbang

Blast Will and Testament
Win a round by picking up the bomb from a fallen comrade and successfully planting it

Born Ready
Kill an enemy with the first bullet after your respawn protection ends in Arms Race mode

The Unstoppable Force
Kill four enemies within a single round

GOLD

The Cleaner
In Classic mode, kill five enemies in a single round

Dead Shepherd
Kill an enemy who is leading the hostages without injuring the hostages

FIRST!
Be the first player to get a kill in an Arms Race or Demolition match

Still Alive
Survive more than 30 seconds with less than ten health in Arms Race or Demolition mode

Denied!
Kill a player who is on gold knife level in Arms Race Mode

Insurgent
Kill an enemy who is dominating you

Repeat Offender
Dominate an enemy

Overkill
Kill an enemy whom you are already dominating

Rampage!
Win an Arms Race match without dying

PLATINUM

CS:GO Platinum Trophy
Collected all other CS:GO trophies

http://www.ps3trophies.org/game/counter-strike-global-offensive/trophies/