Here is the full list of all 18 Farming Simulator 17 trophies - there are 2 bronze, 6 silver, 9 gold and 1 platinum.
Collected all trophies
Breed 20 cows
Cut down 50 trees
Breed 30 sheep
Breed 50 pigs
Cut down a tree
Own a bank account with 1 million ingame money
Find all 100 gold nuggets
Help each farmer at least once
Cultivate 10 hectares
Score a three-point field goal in basketball
Reach 10 hours playing time in a single savegame
Harvest 10 hectares
Sow 10 hectares
Pay back an entire bank loan
Fertilize 10 hectares
Complete a task for another farmer
Reach a negative balance on your very first day