I would recommend bringing a lot of snacks for you and your partner including energy drinks if you get on with them - labour is not the time to run out of energy.
For your partner - paracetamol, it will be very annoying if he mentions he has a headache, bottle of water, clean T-shirt as it's hot in the birth room and he might do skin to skin and get 'fluid' on him.
Stuff for baby - nappies, cotton wool/wipes, couple of babygros, muslins, blanket for car seat, hat, car seat installed in car and partner confident in how it works
Stuff for labour - aromatherapy oils, music, birth plan, hypnobirthing stuff, iPad or book in case you're induced, drinks and snacks (sweet, salty, healthy etc), lip balm, hair ties, specific clothes such as T-shirt, bikini top or night shirt if you want it
Stuff for after - toiletries, hairbrush, phone charger, camera if it's not your phone, money for car park, clean clothes for after, maternity pads, breast pads, nipple cream, bottles and formula if that's your plan (and read the instructions in advance)