Here is the full list of all 17 Kasi achievements.
The base game contains 13 achievements, and there is 1 DLC pack containing 4 achievements.
Grow a fruit
Exceed 300% light during a blood moon
Root a vine back into the ground
Have 20 flowers at one time
Have 20 fruits at one time
Grow as high as the sun at its apex
Shoo a bird
Have 10 birds on your branches at once
Burst 200 stars with one plant
Have 50 moon leaves
Grow a flower and start pollination
Reach 80% maximum light with 20 or more leaves
Have 50 branches
Feed the spider until it is fully grown
Have a plant split into two plants
Grow for one year
Keep time stopped for 5 days