Nasal aspirator (I like the hosp one)
Baby brush (I get full hair headed babes and like the hosp one as well)
Nail clippers and baby file
Cord care - alcohol and qtips
Diaper cream - I use A&D ointment. Only thing that works on my sensitive babies
Thermometer (We have this but I do like tip covers with a baby)
Meds - saline drops (Not nose spray! plain saline drops for baby); tylenol and gripe water; motrin and teething tablets later
Medicine dropper (for gripe water others we use the included one)
Also if you circ (although I know a lot of moms here don't) then petroleum jelly for care.
For bath/hygiene - baby wash, baby lotion, baby oil for cradle cap.
I actually pick up most of the little baby care things at the dollar store because it's so much cheaper than other stores and I don't use the full kits anyways.