Here is the full list of all 15 Risk of Rain achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Die 50 times.
Drown 20 Whorls.
Find the bloated survivor.
Deal 5000 damage in one shot.
Bank 20,000 gold.
Find the robot janitor.
Collect 4 Keycards.
Unlock a golden chest with the Explorer's Key.
Collect 15 Monster Logs.
Kill the Magma Worm, Wandering Vagrant, and Giant Stone Golem.
Kill a boss with 'Lights Out'.
Pass a shrine 4 times in a row.
Survive 40 minutes.
Defeat 20 lemurians in one playthrough.
Fail a shrine 3 times in a row.