Definitely do Picnic in the Park at AK ... the portobello veggie wrap was just okay (all nice and fresh, but I would have liked something else in it or a different dressing), but the tandoori tofu side was awesome (all the sides but one are vegetarian, I think), as was taking our meal and finding a picnic table in the shade by ourselves.
We thought Disney's veggie burgers were very good, they're Gardenburger California burgers on whole wheat buns. And the atmosphere at Restaurantosaurus is *definitely* worth going to, it's hilarious. We did end up having veggie burgers 3 times (at Restaurantosaurus, Liberty Inn, and our resort) but that was more laziness (didn't want to walk farther when food was right there). Like I said they were very good--I just wouldn't normally have 3 in a week.
At Pizzafari in AK we had breakfast of scrambled eggs, biscuit, and they let us have double hash browns instead of bacon. Another good QS breakfast we had was the make your own omelet at POR, which comes with hash browns. (POFQ, by the way, will not let you make any substitutions for their meaty breakfast sides ... in case you happen to be staying at either of those.)