Food! Most hospitals aren't known for their renowned chefs, although my wife and I chose a hospital in a nice area (and her doctors work there), the cafeteria was merely so-so. They did have a pantry with a few snacks and plenty of juices, water, and coffee.
Our hospital had a separate bathroom and shower room "For Daddy", so I could at least have some of the comforts of home. Also, bring warm clothing...hospital rooms are usually ice-cold, although my wife preferred it that way due to a temporary body temperature increase (her doctor told her that it was a normal reaction to the anesthetic used during C-section).
I usually take along an extension cord on my travels; our hospital rooms had only one open outlet, and I wasn't eager to remove any existing cords from outlets! With out first child, the hospital did not have Wi-Fi, but they added it in time for Thing 2's arrival.
Get a decent camera...even the best phone's camera is going to produce so-so results when printed. Bring extra batteries, or the charger. Don't be shocked if mommy doesn't want to be photographed much, but gently remind her that your child's birth day only happens once. Even if you can't afford the latest T1i or D7000 (understandable), at least 100-150 quid for something good will create magic.