A delicacy from the southern states that my husband introduced me to is persimmon eating. Read more on the link from Wikipedia for background and trivia about this unusual fruit.They look like tomatoes but don't taste anything like that. They are very sweet if you wait to eat them till they are ripe=soft. Otherwise they are astringent or bitter.
When you buy them in the grocery store they are quite expensive probably about $1.50 each. We found a box of 14 persimmons on our trip to California back in late November for $8. They have been ripening since then in the garage. Now they are edible and so sweet without any added sugar. Here's some photos to show what they look like while eating. You cut them in half, then scoop out the inside with a spoon. Buy one and wait for a month before eating it.