Another important category is electronics. This means everything from a TV to your gaming system to your laptop. Plus the smaller essentials like your phone charger, a couple of extension cords, and yes, a surge protector.
Chances are nobody is cleaning your room for you, so plan to take along cleaning supplies. And bathroom supplies. Find out what furniture is provided and figure out if you'll have room to supplement it, with a bookcase, for example.
Space will no doubt be an issue, but you can find lots of cool stuff on Amazon that maximizes the room you have. For example, look at the ironing blanket that lets you iron your clothes (you do that, right?) without an ironing board. Or the "hanger cascade" that lets you get a lot more stuff in your closet.
Search for dorm room accessories on amazon.com for lots more ideas.