Don't worry, I won't submit a Duck Hunt run or anything - I realize and agree that it's really not publish-worthy. Still, perhaps some people will enjoy seeing a Duck Hunt TAS - either way, you can't stop from making one and posting it in the forum! :)
I have made a "2 ducks mode" TAS that aims for fastest possible time to get maximum score.
Here is the .fm2. It gets 999999 points in 15 minutes.
The score you get for each bird depends both on what round you are on and the color of the bird you shot. The bonus you get at the end of the round depends on what round you are on.
Perhaps I'll do a 1 million points run of clay shooting later if I'm feeling up for it.
In all game modes, after getting 999999 points, the score counter goes back to 0, as you can see in the movie. There are 99 rounds in all modes, and after that, the rounds counter turns to 0. So the only way to "beat" the game (in any game mode) is to beat 100 rounds so that you return to round 1. Any TAS that does this would be around 40 minutes long.