I'd rather get rid of the white meat (eat some, share with cats) on the first day, serving when hot (for me at least). Dark meat is great either hot or cold. If I have to do breast a second day, I throw it into a casserole and heat it. Preferably topping it with cheese, too. Disguise it with flavor!
Extra veggies, depending on what they were, may end up in an omelet. Or with that casserole.
By and large, if it was good, it is something I look forward to the next day (or maybe a day after that).
Exceptions are something that is meant to be hot and crispy. Even reheated in the oven, the crisp doesn't truly return. Avocados don't last, either. Pasta can be problematic.
But I have no intrinsic objection to the idea of leftover consumption.