Here is the full list of all 17 Corpse Party achievements.
Completed Tooth.
Viewed every ending.
Attained all endings and found every name tag.
Completed She Knows a Key.
Attained the true ending to Chapter 5.
Attained the alternate ending to Chapter 5.
Attained the "loop ending" to Chapter 5.
Attained all endings in Chapter 4.
Completed Chapter 4.
Completed Meeting of the Minds.
Attained all endings in Chapter 3.
Completed Chapter 3.
Completed Chapter 2.
Attained all endings in Chapter 2.
Completed A Gentleman's Errand.
Attained all endings in Chapter 1.
Completed Chapter 1.