I recall seeing this zombie movie nearly two decades ago, so it's probably nothing made after 1995.
It was in color. I recall the zombies having green-ish goop in them.
A scene I remember quite distinctly is one involving a woman in a cemetery. She punches a zombie in the face and the zombie's face just sort of caves-in. It's not solid at all, her fist goes right through and out the other side of the zombie's head. The zombie's face just falls apart as green goop spills out.
Does that ring any bells for ya?
edit: oh and it's probably not 60's or 70's. Probably mid 80's at the oldest.