Okonomiyaki is a favorite breakfast at our place!
My vegan version goes like this:
Batter: 1/2 cup flour 1/3 cup water 1 tsp mirin 1 tsp soy sauce 1/8 head shredded cabbage (about two big handfuls)
seseme oil for pan frying
Sauce: 3 tsp soy sauce 1 tsp sake 1 tsp brown rice syrup
Generously topped with vegan mayo, and a single umeboshi :)