If you have a kitchen sink you don't need a baby bath.
It's at the right height, usually you have a counter close at hand for laying out whatever you need for nappying and drying afterwards..
Don't get a changing table either.
Waste of space and it's much easier to change a baby when you stand at the baby's feet, not at its side.
Get a washable changing pad that you can roll out and use anywhere. You can put the changing mat on your bed or on a table or on the kitchen counter, wherever you find is handiest and least strain for your back. I mostly used my bed. You can take it with you when you're out. Later, when potty training time comes around you can change nappies in the bathroom and start associating poo and pee with that room.
By contrast, you are stuck with the height and angle of a custom changing table or a pad on top of a chest of drawers.
Shoes, especially shoes with rigid soles.
Get Robeez or equivalent if you must.
Special muslins.
I bought a packet of ten lovely absorbent birdseye cloth nappies (flat, square, soft, foldable and double layered iirc that did the trick perfectly. They lasted through five babies and were useful for all sorts of purposes including mopping up the car. Afterwards I used them as kitchen cloths. The last two are still in use, 25 years later.
A humungous nappy bag with all sorts of bells and whistles inside.
The bigger the bag you buy the more stuff you will accumulate in it and you will end up hurting your shoulder lugging it all around. I left the house with two disposable nappies and a plastic ziploc bag with a few wipes in it, all in my own handbag, and I kept a few cloth nappies in the car for emergency changing pad use, with a hand towel in my handbag for changing pad duty in shops. In my baby days I used a large messenger bag as a handbag.
Headbands for baby girls -- agree. To many this is a matter of taste though.
I personally think they pose a strangulation hazard as they could conceivably slip down around the baby's neck but heyho.
Baby wipes are a great and good thing in my book much handier than using a cloth or tonnes of cotton wool and they can be used to dust and moisturise furniture too.
I know someone who swears by washable J cloths though. She keeps the ones she uses for the baby separate from general household cloths...
Tiny bibs.
Get the biggest you can lay your hands on and avoid those that tie or have velcro on the back. You want something that your baby can't pull off.
I had the first three of mine in small flats and couldn't find space for most of the 'must have' stuff but managed fine without it.