Are there any dishes that utilize burnt garlic?
I've seen a handful of different recipes that utilize burnt garlic as a main flavor ingredient. 

One that seems particularly interesting is "Burnt Garlic-Sesame-Chili Oil", which can be used as a condiment in ramen noodle soups. I haven't tried making it, but I'm pretty sure I have eaten something like this before. It has a spicy and smokey flavor.  I'm not sure if I should paste the whole recipe here, but here is the link: 
https://www.seriouseats.com/recipes/2013/09/burnt-garlic-sesame-chili-oil-for-ramen-recipe.html

Enjoy!