There are 12 Trophies that can be collected.

Bronze

Tri-band
Arrest a fugitive with a ring after 3 successive bounces.

Group rate
Kill three fugitives with a single grenade.

Chef's skewer
Get a bonus of more than 5.000 credits with a series of captures.

Distant partners
Play a mission online.

Spring cleaning
Complete a Barghest arena before time runs out.

Diamond dust
Transform a frozen fugitive into diamond dust with Maddogg.

Back in jail
Capture a fugitive and transfer him to Wanted Corp.

Silver

In the can King Kong!
Capture Big Monkey Grunk and transfer him to Wanted Corp.

Royal skewer
Get a bonus of more than 10.000 credits with a series of captures.

Shopaholic
Buy all the store’s upgrades.

Nerd fighter
Collect all the game’s archives.

Gold

Disbanded sect
Capture Barghest and transfer her to Wanted Corp.

http://www.ps3trophies.com/forums/playstation-trophy-news/7686-wanted-corp-trophy-list.html