Here is the full list of all 37 I got a millenary cat achievements.
Twas merely a temporary separation
Defeat the Alien
Reach max Relationship level
Reach max Spirit Power level
Chat with the cat 69x
Chat with the cat 20x
Reach 9,999 bucks
Reach Relationship Lv.4
Reach Spirit Power Lv.4
Reach 3,000 bucks
Make all the recipes and reach the highest quality for all
Reach Relationship Lv.3
Reach Spirit Power Lv.3
Chat with the cat 5x
Get this piece of furniture: Sofa
Get this piece of furniture: TV
Make all the recipes
Get this piece of furniture: Full-Length Mirror
Make 10 meals
Get this piece of furniture: Rubber Ducky
Pet the kitty 10x
Flawlessly complete a night of work
Conjugate with the cat 1x
Make 1 meal
Get this piece of furniture: Fan
Reach Relationship Lv.1
Find out the feline's secret
Flawlessly complete a day of work
Reach Spirit Power Lv.1
Save the kitty cat
Conjugate with the cat 30x
Conjugate with the cat 69x
Pet the kitty 100x
Pet the kitty 300x
Make 100 meals
Score 3000 points in the simulation battle
Complete all achievements