Here is an in-depth compilation of everything a new born would need.
Sleeping- Crib or co-sleeper, crib sheets, thin cotton receiving blankets, waterproof mattress protectors,
Feeding - several bottles with newborn nipples, bottle cleaning brush, several cotton bibs, burp cloths or burp diapers, baby formula to start with, bottle sterilizer,
For New Mother - nipple cream, nursing pillow, nursing bras, breast pump, breast milk storage bags,
Baby Bathing - baby tub, washcloth, baby towel, baby soap, tearless shampoo, brush, comb, nail clippers.
Other Necessities - diapers, clothing, infant car seat
Unnecessary: pillows, sleep positioners, mattress padding, secondhand car seat, walker, jumper,
Bad: wipe warmers, portable sanitizing wipes, fancy bedding, expensive clothing and shoes, fancy changing tables