Here is the full list of all 23 Duck Season achievements.
Its over, you lose
Kill two ducks with one shot
Platoon ending
Shoot the sitting duck in the duck world
Don't shoot the dog in any playthrough
A better game
Kill 100 Ducks
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
Stuck forever
Shot the sun with the golden shell
Cannon Ending
Shoot all the cattails in the game world
Flip the sign in the game world
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