My comments should be prefaced with the fact that 50% of what I cook turns out like shit. That being said: Are you getting the pan good and hot (on medium heat) before putting something like butter or oil and the egg in? My grandma always used to crack the egg into a hot pan with a little butter then add a few drops of water and cover the egg with a lid. No flipping required and both sides still get cooked. I've had better luck with this method than trying to flip. They always split or get over cooked if I try to flip. Also, eggs cook fast. A minute or two is all it takes.

Did you try gently pressing the eggyolk with a spoon to feel if is still soft?
Timer also helps. Electric cooking mashine also helps as you can easily control the temperature and repeat the process every time.