There's a video explaining which npc's to talk to for amity games. For some of these amity games u need History and Alchemy 2, go to Ancient fissure library (2nd floor) and to the top of Elrics Shrine, there is an abandoned library that gives 1 topic for History 2 and the complete knowledge for Alchemy 2. You will need about 100 energy for both of these if you're looking to complete them at once.