I would considers these as the MOST bizarre on the list. There are some though that look fabulous like the "Fluffanutter" sandwich. You'll find that on the full list linked below.
1. Akutaq in Alaska. That's "Eskimo Ice Cream" . . . but not delicious Eskimo Pies. It's a mix of seal and other animal fats, with berries, and sometimes sugar and milk.
2. New Haven Clam Pie in Connecticut. That's pizza with clams and white sauce.
3. Lamb fries in Kentucky. Those are deep-fried lamb testicles. Need I say More
4. Brain Sandwich in Indiana. It's mostly a Southwest Indiana thing. It was COW brains until Mad Cow. Now it's deep fried Pig Brains with Mustard. Ewwww....