We needed tiny baby, then new born and now 1 month but DD is/was small (she's 3.5 months now)
A baby carrier so you can still do a bit of stuff when baby won't be put down, mine one you tie and was £25.
Baby towels?
Straight jacket/baby swaddle thing (DD has just out grown the gro snug and we are screwed until we find a good replacement) I only go one as they are fairly expensive
My baby is an incredibly sicky baby so this doesn't apply to most I think but disposable bed pads save the sheets and make late night clean up quicker
We have washable wipes, never really got into nappies but wipes are great and I've never run out and it's cheaper in the long run.
I use a video baby monitor to do stuff in another room when she's sleeping for short periods.
Vest tops to wear under your normal tops so you pull outer top up and vest top down.
We had a starter kit or four bottles and a dummy, she took the bottles at first then stopped, she's currently ok with a different brand so when you get bottles while breastfeeding don't get loads. And I just sterilise with Milton.
I have used near 300 breast pads by now, I don't like the wet feeling of washable ones but my use has slowed no that I only leak while actively feeding.
Don't worry I literally ordered stuff on amazon before we left the hospital, as long as you can basically Feed, sleep, clean, clothe, travel (tbf we used a taxi without a car seat) you'll be fine