Here is the full list of all 14 Inari achievements.
Reach Takane Favor 10
Reach Takane Favor 30
Reach Takane Favor 60
Reach Takane Favor 100
Reach Asami Favor 10
Reach Asami Favor 30
Reach Asami Favor 60
Reach Asami Favor 100
Reach Mio Favor 10
Reach Mio Favor 30
Reach Mio Favor 60
Reach Mio Favor 100
Have 10,000 yen
Have 100,000 yen