Don't see any shrimp burgers around here, but plenty of places do shrimp and cheese grits. Tends to be New Orleans style when we do it here.
Speaking of food from the 70s, and grits, my mama makes this delicious sausage-cheese-grits casserole. We usually have it as one of the sides for Thanksgiving, Christmas, and Easter dinner. It's so freaking delicious, and it's one of those old school 70s recipes that is so old it actually has a store-bought ingredient that no longer exists-- the Kraft Garlic Cheese Log. It was discontinued several years back and now there are all kinds of food blogs that have developed substitute recipes.
They taste close enough, but certainly aren't as convenient as the overly-processed deliciousness of the original garlic cheese log.