Bronze

Theorist
Complete all Tutorials

Lietenant
Complete 25% of Campaign Mode

Colonel
Complete 50% of Campaign Mode

General
Complete 75% of Campaign Mode

Extirpator
Complete Campaign Mode in 60 minutes or less

Vanquisher
Complete Campaign Mode

Gatherer
Gain 9 different rewards in Campaign Mode

Amateur
Complete Skirmish on Normal or higher difficulty level

Comrade
Play 100 Local Multiplayer Matches

Midas
Upgrade the Village to the 5th level in single player

Encourager
Send a surge containing 1000 units in single player

Escapee
In Single Player capture enemy's village after all own buildings were lost

Blighter
Kill your 32000 units in Single Player

Torch-bearer
Keep the 5th morale level for 25 sec in single player

Aggressor
Capture 2000 buildings in Single Player

Silver

Napoleon
Complete Campaign Mode on Hard difficulty level

Collector
Gain 200 rewards in Campaign Mode

Ace
Complete Skirmish on Hard difficulty level

There are also 6 secret trophies, which have to be bronze, since the total count is an unusually high 18 trophies. Enjoy!

Zuler: Edit ~ Thanks to kassatsu for the secret trophies.