Really, what everyone needs is different, and it depends how far away you are from home, and how much you feel like trucking around. I went from PA to Miami, so I only brought as much as I could fit in 2 suitcases and a laptop bag. Learn to live minimally and you'll be happy.
Word up. As someone who finished college this past semester, I'll chip in: bring as little as possible. Don't become a slave to your possessions.
I can easily say that besides my guitar, the most important things I took from college (laptop, camera, iPod) fit in my backpack.
I also dragged along a trunk of clothes back home with me, but even that was unnecessary.
Learn to live simply. You don't need a TV, consoles, etc. in college. None of that stuff will satisfy you in the long run.