Mickies Dairy Bar is a great, uber-popular breakfast joint right near Camp Randall Stadium. The food is delicious and the portions are gluttonous, so make sure you come hungry wearing stretchy clothes.
I highly recommend their milkshakes and pancakes.
Seating used to be a problem as it was a free-for-all: if you showed up with 4 people, you had to wait for 4 seats at the same table to open up and then hope you got to them before another group of 1-4 did. Luckily, they now have a host(ess) person who seats groups in the order in which they arrive, which is a GREAT improvement.