I put together a list of the things my DS took with him that he actually used. His dorm room came with a combination microwave/fridge/freezer, so we didn't have to get these. You may need some different/additional things with a DD, but here's my list:
Power strip, possibly extension cords
desk lamp
over-the-door hooks (great for towels and coats)
dry erase board (although DS didn't end up using it)
set of plastic drawers (the three-drawer kind -- holds anything, great to put
the printer on top of it)
small first aid kit
shower tote
Soap, shampoo, toothpaste, etc.
Medications bring new prescriptions if student will need to purchase at
health center
paper plates, bowls, paper towels, plastic silverware
office supplies -- scissors, stapler, paper clips, butterfly clips, ruler,
scotch tape, duct tape, etc.
large and #10 envelopes, couple of stamps
small tool kit -- screwdriver, little hammer, flashlight
fan
small sewing kit
calendar
computer, printer, paper (even if there's a central printer, this is useful)
school supplies -- folders, spiral notebooks, sharpie, pens, pencils
bedding, including a throw, and a 2" thick foam pad for under the
mattress pad
two sets of towels
area rug
back rest pillow
laundry basket or collapsible hamper
wastebasket (our school said no plastic wastebaskets -- not quite sure why),
with small trash can liners (much easier to get rid of the garbage and not
have the basket smell bad)
kleenex
Clorox cloths, several of various size ziploc bags, a small box of large garbage
bags (these were handy for all kinds of things, including protecting kids
and books in the rain)
Purex 3-in-1 laundry sheets -- MUCH more convenient than lugging
detergent and softener
closet organizer of some kind -- he had both a hanging shelf (from the
rod) and a put together three-shelf thing that sat on the floor
Basic dorm food -- soda, poptarts, Kraft easymac, granola bars,
favorite snacks