Here is the full list of all 13 Söldner-X: Himmelsstürmer trophies - there are 9 bronze, 3 silver and 1 gold.
Reach ultimate rank 15: Galaxy Superstar
Complete the fifth world on "impossible"
Complete an accumulated total of 3,000 chains
Complete the fifth world on "hard"
Kill an accumulated total of 50,000 enemies
Collect all 20 secret keys
Complete the second world on Rank "S"
Reach a score of 2,000,000
Complete the fifth world
Complete the fourth world
Collect at least four keys in each world
Play for five minutes without losing any health
Complete the first world