Here is the full list of all 14 Darknet trophies - there are 11 bronze, 2 silver and 1 gold.
Complete the Tutorial
Captured all nodes in a network before capturing the Root Node
Purchase 12 Viruses
Successfully hack a node using the hexpad
Capture 1000 Nodes
Capture 50 Root Nodes
Capture 100 Sentinal Nodes
Use hydras 100 times
Successfully complete the coding puzzle
Use Exploits 100 times
Use a Worm
Reach a Skill Rating of 85%
Unlock all upgrades
Earn $30,000,000