I use Ziplock steamer bags to make my omelette in the morning, usually I thow in some combination of spinach, broccoli, asparagus, whatever chopped vegetables i have on hand etc plus fresh herbs. I use turkey sausage for extra flavor & texture, but you could use cheese (I don't do dairy).
Or I will make a frittata on Sunday night and reheat portions thoughout the week using the same basic ingredients. After heating, I sprinkle fresh chopped chives (I cut with scissors) on top as that seems to brighten it up.
I use a combination of 1 egg, egg whites, and then almond milk to add more body, maybe with a tbsp of butter or margarine. My prep & cooking time in the morning is no more than 3 minutes, usually much less.
I eat out of a reusable plastic container, usually while on the way to my workout. Easy to throw away if I don't have somewhere to quickly wash it but usually less messy than eating a wrap.
My other breakfast option usually involves some leftover black beans mixed with chiles and whatever chopped vegetables I have on hand. As with the eggs, I just reheat in a plastic container in the morning. A quick grab & go breakfast without settling on junk.