Here is the full list of all 14 魔塔少女/Magic Tower & Maidens achievements.
Reach level 70.
Meet Ive for the first time.
Reach level 60.
Reach level 50.
Enter the hell for the first time.
Meet Vivian for the first time.
Reach level 40.
Reach level 30.
Enter the suburb for the first time.
Meet Meeley for the first time.
Enter the jungle for the first time.
Meet Livviel for the first time.
Meet Sheesa for the first time.
Enter the desert for the first time.