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