Here is the full list of all 15 NekoBuro CatsBlock trophies - there are 13 bronze, 1 silver and 1 gold.
Tried all the toy with cats.
Get all furniture.
Get SS medal for every quest.
Clear Stage 5.
Clear Stage 4.
Get 200000 score in Survive Mode.
Get 40000 score in Survive Mode.
Get an Mr.Researcher doll.
Change the furniture
Clear Stage 3
Play with cats for the first time
Clear Stage 2
Clear Stage 1
Stage 1-1 cleared
Getting a chain combo.