I use this style wall anchor for my hollow walls:
TOGGLER Toggle Anchor, Plastic, Meets FF-B-588D (Pack Of 5): Amazon.com: Industrial & Scientific
I find that it works really, really well. It basically goes through the hole and then toggles back out behind the panel, locking it in place. It provides some tension to the screw which keeps it from backing out and it spreads the load around to keep the hole from stripping out. I've found them for sale at Walmart and Home Depot.
For cabinet screws I use the match stick trick, or for more lost causes I drill the hole out bigger, insert a hardwood dowel, glue it, and trim it flush, and screw the screw back into that.