Here is the full list of all 23 Duck Season achievements.
Platoon ending
Set the table for dinner
Shoot the sitting duck in the duck world
Watch all the VHS tapes
Tried to get Mom's attention
Use the Kid Wizard Book
Its over, you lose
Kill two ducks with one shot
Flip the sign in the game world
Shoot all the cattails in the game world
Hit the baseball with the bat into the kitchen
Throw something out the window
Kill 100 Ducks
Shoot the dog more than once in a playthrough
What time is it really?
Dog
Stuck forever
Shot the sun with the golden shell
Cannon Ending
A better game
Don't shoot the dog in any playthrough
Beat All Cartridge Games