This is one of those questions that looks like it's being asked sincerely, but I just can't imagine that anyone on this planet doesn't already have a very good idea of what kind of shoes they like to wear casually. How old are you? Do you honestly not know where to begin, or are you just fishing to see some oddball answers?
Nobody really needs "waterproof" shoes for everyday wear, although it almost sounds as if you plan on wearing these these shoe from the moment you wake up, until you undress at night. If it's raining dogs, or maybe there are a couple of inches of snow, then OK, go waterproof. Otherwise, a pair of very-unwaterproof canvas sneakers will do service as well as any waterproof shoe.