Not a new franchise but how about Duck hunt get a new game?
It would be developed by retro studio's the game would be called Duck and Hunt, the story would start off with hunt's (the dog) master being kidnapped by a Bald eagle, the bald eagle wants the humans too be exterminated for year's of wiping out his kind.
Hunt chases after the bald eagle but gets away, and bring's hunts master to a armored version of the white house, where all the birds have taken over. (the last level and final boss would take place in the white house)
Hunt feels helpless and as soon as he is about to give up a pigeon called duck comes to him, telling him there is a way to save his owner by collecting 70 keys that will unlock the white house main door. Duck wants to help hunt look for these keys and stop the bald eagle.
The enemy's in the game would all be birds Crow, falcon's, pigeon's, robot birds, ridley... you name it.
There would be 18 worlds that the keyes are scattered in from Japan, America, The moon, middle earth, pre-historic times, chocolate land (hunt would slowly lose health here and have multiple bathroom jokes), Antarctica
Combat wise, Hunt would be the attacker and duck would help him by giving him a double jump, and spitting out eggs as weapons from a distance.