If you're referring to the flavor itself, you can call it complex.
Rover named some dishes with a lot of ingredients. Are you looking for names of specific dishes that have a lot of ingredients? Some less specific types of dishes include:
- casserole (a.k.a. hot dish)
- stew
- salad
- hash
- pasta
You're looking for an adjective, not an "adjective". That is, unlike in this one, "adjective" is an integral part of your sentence, not a word being discussed.