I've always enjoyed egg drop soup at Chinese restaurants, and lately I've been hankering for American style Chinese food (weird huh!). I think the key to this soup is keeping it simple and using really good broth (I make mine in a pressure cooker). Also pay attention to the temperature of the liquid when you start working with the egg.
Chop up veggies into small pieces (so they cook faster):
optional other veggies
optional cooked rice or other cooked grain
Bring 4 C of very good/thick chicken broth up to a simmer and cook vegetables until soft. Add quick cooking veggies like frozen green peas or optional frozen corn.
Season the broth with ginger powder, white pepper, salt, 1 tea sesame oil and optional soy sauce and/or garlic.
Beat 3-4 eggs. When the broth/soup is at a simmer, slowly pour beaten eggs in a thin stream while stirring the pan-- the result is you'll get a spiral of eggs. Turn of heat. Let it sit for 20 seconds for the egg to cook, then gently break up pieces of eggs.