Trophies:

Bronze trophies
Pod Oppressor - Destroy 10 mutated pods in any one level of training grounds.
Spidery Point - Destroy the spider boss on arachnophobia.
Tank Oppressor - Destroy 20 tanks in sequence.

Silver trophies
Fly Swatter - Destroy 3 flypods within 5 seconds on any level of insect infestation.
Sneeky Incursion - Destroy the boss without opening more than one outer door. Only 1 of the 3 outer doors may be opened to any degree.
Tank Sympathizer - Destroy both generators on claustrophobia without killing a tank.

Gold trophies
Wheel Collector - Complete level fizz wheels without killing a fizz wheel (the rolling wheels connected by a laser).
Worm Tangle - Destroy 3 worms in sequence on the ooze.