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