Here is the full list of all 34 Mother Russia Bleeds trophies - there are 22 bronze, 5 silver, 6 gold and 1 platinum.
Defeat the Butcher without being hit by his claw
Defeat the Dealers' leader without ending up under the harvester
Achieve a 500 hit combo
Defeat the Government officer without being hit by a train
Get through the sewers without being bitten by a rat
Complete the game with the happy ending
Kill 40 riot policemen as you cross the main square
Leave the train without letting the inspectors call for backup
Complete a level without taking any Nekro
Get gnawed by 5 rats at the same time
Complete the game with the sad ending
Complete the game in Easy mode
Achieve a 200 hit combo
Achieve a 100 hit combo
Get through the hall without being hit by the chopper
Keep the Gimp alive
Empty a cartridge clip without any random shot
Complete a level without using any weapon
Get through the sewers without raising a hand to a pig
Defeat the Prison Governor without being hit by a sniper
Use an enemy to knock down another 5
Unlock all other Trophies
100% complete the game
Complete the game in Normal mode
Complete the game in Hardcore mode
Complete a level without being hit
Escort the prisoner without letting him take any hit
Reach your destination without being hit by a grenade
Cross the boulevard without being hit by a motorbike
Complete the arena in less than 5 minutes
Complete a level without anyone on the team being killed
Complete a level without hitting any ally
Complete a level without letting anyone on the team get hit
Successfully hand a knife to your ally