There are 10 Trophies that can be collected.

BRONZE

Tip Hunter
Read all tips in the Forest, at the Seacoast, in the Winterland and in the Factory.

Siberia
Unlock first Winterland level.

Maghreb
Unlock first Seacoast level.

Zone Industrielle
Unlock first Factory level.

C-C-C-C-Combo!
Kill 10 enemies in the combo 10 times.

Bee!
Complete all missions in the Forest, at the Seacoast, in the Winterland and in the Factory with at least B rank.

SILVER

The End?
Beat the final level in the Factory.

The A team
Complete all missions in the Forest, at the Seacoast, in the Winterland and in the Factory with at least A rank.

Exterminator
Exterminate 1000 enemies.

GOLD

Game Master
Complete all missions in the Forest, at the Seacoast, in the Winterland and in the Factory with S rank.

http://www.ps3trophies.org/game/a-men/trophies/