Please add more suggestions:
baby wipes
changing mat
sleep suit
cotton (disposable) nappies
sheets
socks
bibs
hat and gloves
lots of blankets
a washing bath
towls
baby soap or shampoo
nappy cream
baby thermometer
pram!
a bad to put everything in
feeding bottles (more than one)
formula powder (back up in case)
Anything I've missed?
I would add a dummy! And also a moses basket, or other carrying basket. And for some people a car seat, of the type that can be unclipped and carried into the home...
i think a baby carrier that is attached to ones chest is a good investment. There are various makes but they are more or less the same - a sort of baby 'fron-pack' rather than a back back. then the baby can easily sleep, but mum or dad can go for a walk...
sleeping bag! as you often end up on the floor I found...
nailcutter for baby, it will help to keep ur baby away from bad eyes as well as babies nails grows more early we can think off 
