Does your car have ABS?
If so.. you may have air pockets in the ABS unit, just crack the top bleed points and do what you were doing before.. pedal down, open/close, pedal up.. then bleed the rears...
Once you're done, go on to a quiet area and when safe try to kick in ABS.. to get the pump going. Then back home and bleed some more, that should do the trick.