Here is the full list of all 15 Nightingale achievements.
Complete the Quest "The Only Way Out Is Through"
Visit The Watch
Complete the Quest "Gateway to the Watch"
Complete the Quest "Eoten Offering"
Complete the Hunt Site of Power
Complete the Quest "Redress to the Sun"
Complete the Gloom Site of Power
Complete the Quest "Arm Yourself"
Complete the Astrolabe Site of Power
Complete the Provisioner Site of Power
Complete the Herbarium Site of Power
Complete the Antiquarian Site of Power
Complete the Quest "A Realmwalker's Initiation"
Visit the Abeyance Realm
Complete the Quest "Gift for a Gardener"