Must Haves
There are certain things you just need to have with you at college... It's best to be prepared in case of an emergency. And sometims jobs ask you to prove you exist in the weirdest ways... That all said, it may be best to keep irreplacable things at home.
Debit or Credit Card
Regardless of whether you choose a debit or credit card, unless you're living at home or fully supporting yourself, a card is perhaps the easiest way your parents can send you money, and the most convenient way to pay at school. If you don't already have one, talk to your parents about it. Even if you aren't into the idea, they're worth having for emergencies.
Driver's License
You'll need to have an ID with your birthday one it. A real one.
Important Documents
Prescriptions
If you have any perscription medications, be sure to bring a copy of your perscriptions so you can pick them up at your school's medical facilities or some local hospital.
Copy of Birth Certificate
Really, the only time you would need this would be for getting a job, or possibly at your school's request.
Bank Account Info
Just in case you ever need money...
Copy of Social Security Card
Now this is one that you may actually be asked for when you apply for a job, or that your school migh task for. It's more important though that you know your social security number.
Passport
Especially if you live near the border, or if you have a study abroad trip coming up, you'll definitely want to consider bringing your passport. But if you do... don't lose it.