Here is the full list of all 45 Vostok Inc. trophies - there are 33 bronze, 8 silver, 3 gold and 1 platinum.
Purchased all ship upgrades
Kill 5000 enemies
Score 99 in Balloon Popper mini game
Use all 19 weapons
Destroy 10000 asteroids
Fully explored Voltimus
Have four drones circling you at once
Complete 300 objectives
Build 400 Government Offices across 10 planets
Have 1 Trillion Galactic production per second
Collect 20 loot crates
Remix Vent's song set
Purchased all radar upgrades
Use 9 different weapons
Reached lvl 25
Lose 1 Trillion Moolah in one go on a Monday
Fully explored Vent
Build a total of 10000 extractors.
Have 1 Billion Galactic production per second
Complete 200 objectives
Fully explored Casin
Use 4 different weapons
Fully upgrade a building
Fully explored Galene
Complete 100 objectives
Fly through a sun
Fully explored Sol
A piece of platinum money can't buy. Complete all special objectives.
Build 40 buildings, one at a time, in under 5 seconds
Build something on every planet in the Galaxy
Annihilate the Architect
Recruit all executives
Fill one room with middle managers
Make a total of 1 Billion moolah on Sunday
Have 1 Quadrillion Galactic production per second
Fill all middle manager cubicles, then flush them all out of the airlock while escaping in the pod
Play without a weapon equipped for 10 minutes
Chop 222 logs
Score at least 666 in Cave Chopper
Score 50 in Tapeworm mini game
Score at least 100 in Aquatic Attack
Kill 99 undead in a round of Zombie Combat
Fly each Luxury space yacht
Beat Vostok 2084
Completed 10 races