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