Here is the full list of all 33 My Lovely Wife achievements.
Assign succubus to Hallowed Shrine 10 times
Assign succubus to date at Fortuna Plaza 10 times
Unlock Chapter 3
Unlock all rooms.
Unlock 10 succubus kind.
Summon 10 succubi.
Kill 5 succubi.
Assign succubus to Hallowed Shrine 1 time
Unlock 5 succubus kind.
Unlock Chapter 2
Assign succubus to Ancient Ruin 10 times
Assign succubus to date at Fortuna Plaza 1 time
Assign succubus to learn 10 times
Kill 1 succubus.
Unlock Chapter 1
Assign succubus to Ancient Ruin 1 time
Assign succubus to work 10 times
Assign succubus to learn 1 time
Assign succubus to work 1 time
Summon a succubus.
Finish an Objective
Summon 50 succubi.
Unlock 20 succubus kind.
Kill 50 succubi.
Complete a whole story of a succubus
Complete a whole story of 5 succubi
Complete a whole story of 10 succubi
Complete a whole story of 20 succubi
Unlock 1 succubus ending
Unlock 15 succubus ending
Unlock 40 succubus ending
Unlock Asmodeus Ending
Unlock Luna Ending