This is a terrible list. Moses basket - great. Still using it with DD and she's four months. I refuse to buy a crib bed thing and a cot is too big so when the basket gets too small, she's moving to her own room.
Baby bath - loved it with DS. No space to store it with DD but was sad as ours could be placed on a stand too which really helped with my back.
Nappy bin - could not live without. Keeps smells in and I don't have to hassle out to the outside bin every time.
Crib blankets - we have loads and it's great. I can obsessively adjust for slight temperature fluctuations and we always have a spare one lurking in the car or a changing bag or whatever. Plus every now and again she vomits or poos on everything and you need backups. I also have a lovely few that were knitted by a family friend. Too hot for current weather but really lovely when out and about in the pram.
Admitteldy, you don't need loads, but a mobile or two are great. we have one on DD's pram which keeps her entertained and will have another on her cot when we put it up.
So that's five things I'd consider great and/or essential. Maybe I'm just a sucker for these things?!