There was a Arcade port of Duck Hunt titled "VS Duck Hunt".

The main difference is that the Arcade version has a Bonus Stage, it's also the only official version where the player can shoot the dog.

If the player reaches Round 100 in 1 Duck Mode, they will trigger a glitch that makes it impossible to shoot the duck.

Duck Hunt is a remake of a home toy that Nintendo first produced in 1976 that involved players firing their Light Gun at ducks projected onto the wall of the user's home. The toy itself was a home system version of an Arcade style Light Gun system Nintendo called The Laser Clay Shooting System, first released in 1973.

There is actually a two player mode in which the second player controls the duck that player one is trying to shoot. This option is only available in game A. This was stated in the game manual, on page 3.