Well, I am going to be a junior this year and I would say bring as much as you feel is needed? (I will continue to explain haha)
Videogames are a great way of meeting new people and bringing them together. Sounds dumb, but its true. Also when you have free time and nothing else to do, you will be glad you have them.
I am a Business with Applied Science major, which means I am taking all of the science core along with the entire business core (Chem, Bio, Genetics, Organic Chemistry, Physiology, all the labs, etc + Marketing, Accounting, Business Ethics etc) and I am doing fine. I also am an RA so I have an on campus job that requires far more time that one would think. But yeah, this year I am bringing my computer with 2 monitors, one of which (Samsung T260hd) doubles as a TV and gaming monitor (as well as computer monitor obviously). Then I will have a shitty 19 inch tube TV on the other side of my room by my bed along with a 46 inch Sony LCD and 5.1 Surround Sound System....
Hahaha, yeah I have a ton. But granted I can manage my time well and my friends and I love to play games.
In the end it comes down to, can you manage time well? If you can, bring it all. If not, I would say bring less.