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