How can I get these stains off my glass stove top?

Have you tried Rubbing Alcohol and a nylon scouring pad? I use it to turn a black stove white all the time.

My stove regularly looks like this, and I can get sparkling clean by using Weismans(sp) glass cooktop cleaner and a green scrubby. Doesn't have the be Scotch-brite brand, a dollar store scrubby will do. Don't use any water, just cleaner, scrubby and elbow grease. I do use a painters sanding block on top of the green scrubby to help with even pressure on the scrubby pad. I have also heard that Vim cream cleanser works as well. However I've found that cleaners specifically made for glass cook tops will buff off and leave your stove shiny and any other cleansers tend to leave your glass dull after wiping clean.