I've been trying to find this anime, but google is of no help, It's a slice of life anime, the Main character was pretty pervy and kept doing horny things, but the main love interest girl had lost(?) her emotions, and so her reactions to everything was pretty funny.

I remember there being a big golden cat statue that they prayed(?) too, and I think something with it might have taken her emotions, and the goal of the anime was to get her emotions back, while just living day to day.

I remember that the main character meets the emotionless girls sister when going to her house for the first time, I think he accidently walks in on her in the shower or changing, and she attacks him and makes the rest of the night awkward. And her sister is very protective over her.

There MAY be action scenes? As Im typing this like flashes of small scale action is coming too me, so it may not completely be purely slice of life, but Im sure most of it was.

If you have any clues, or any places im able to search, please let me know