The science fiction webcomic
Schlock Mercenary has a species with three races (male, female and muftale), where the males and females provide genetic material in sperm and ovum like with most mammals, and the muftale raises the newborn in a marsupial-like pouch for a year or so. Let me see if I can find a link...ah,
here we are. It looks like a number of the newborns traits are determined by what hormones they're exposed to while they're in their first year, so the muftale, while not contributing DNA, still contributes to how the child turns out.