Check the college handbook to see what is allowed in rooms - eg My D1 was only allowed battery operated fairy lights, not mains, and could have a kettle, but it had to be on a tray.
She chose one of those boxes of plates (4 of everything) but just took 1 or 2, leaving the rest at home for spares. Ditto cutlery (with coloured handles) and glasses.
A couple of favourite mugs.
A kettle and a tray to put it on, an extension lead.
Her tiny shared kitchen only had microwaves and fridges, so microwave noodle and soup pots.
Bedding - a mattress topper and a waterproof mattress cover, pillow with protector, 2 x fitted sheets and a coverless duvet - I got one from John Lewis, but I noticed M&S are now doing them too. These are brilliant, light, soft and warm and wash and dry really quickly.
Bath and hand towel, Turkish Hammam towel for swimming. Shower caddy with a hook.
Picnic rug (I think the college suggested this, in case of outdoor tutorials, I don't think this actually happened - but she and her household used it anyway.)
A laundry bag (a blue Ikea bag would do just as well, and these are ideal for packing stuff and squashing into the car then storing under the bed) a small clothes horse.
A first aid kit in a little makeup bag.
What wasn't useful - over the door hooks which didn't fit her door. Over radiator towel rails - didn't fit her radiator. She chose a doorstop but left it at home. I don't think she used the little sewing kit, but I suppose that's a just in case thing.
I did a gift bag of - favourite teabags in a caddy, sachets of hotchoc, chocolate brownies, novelty drawing pins, couple of family pictures etc.
Halfway through term I sent her a mini coffee maker which takes eco capsules this one which she loves.
She also took a box of books and a suitcase and rucksack of clothes.
This all fitted in our Skoda Citigo for the 300 mile trip!