Here is the full list of all 10 Sickness achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
When things get messy, neglect your duties
Spend eternity with Sara
Turn the tables while being seduced
See this season's biggest blockbuster
Turn down the opportunity of a lifetime
Fail your first paid kill
Give up everything to stop history from repeating itself
Attend counseling
Cohabitate with Misa
Kill Mr Roth while he's indisposed