For DD I had...
A Moses basket - used a few times for a few minutes max, she hated it!
A bouncy chair - she hated it, but was ok in my niece's much more reclined chair.
Playmat - she could happily play or sleep on there for hours.
Cot - it went next to our bed and she went between that and our bed, but mostly slept in our bed.
Pushchair - was a horrible thing and I was on my third pushchair by the time she was 3.5 months. This is something I'd research properly.
Car seat - went on pushchair but was quite small. Then had a mamas and papas primo viaggio which I urge no one to consider for a newborn, it's awful! Car seats are another thing to research properly so you don't end up being someone who feels forced to put their 8 month old forward facing. My 23 month old niece can still fit safely into our Britax infant carrier.
Changing table and changing mat - this is actually really useful as I can throw loads of stuff in and shut the doors. I also prefer having DD high up when changing her as it's more comfortable, but many people prefer them on the floor.
Baby bath - it was huge which meant it didn't sit into the bath. This time I'll just use a seat thing instead.
Top and tail bath thing - never used it, don't know why you would tbh.
Play pen - DD always went mad if I tried to put her in there, although this wasn't as a newborn but from 7 months when she was crawling. I might use it this time to put baby in on a playmat or in a bouncer to stop DD doing things like change baby's nappy etc!
This time I'll be getting....
Baby hammock - instead of Moses basket or cot at first as everyone I know who's had one says it's helped their LO to settle.