Here is the full list of all 12 Would you like to run an idol café? achievements.
Hug of encouragement
Let Kuu see into your future ...?
Get a nice rest
Find out what Mayuki is doing
Listen to some Music
Inspect Kuu's Castle
(Un)Happy little accidents
Enjoy Ichigo's cooking
Meet Mayuki and Kuu
Now you finally get it
Let her express her feelings
Did she see it coming?