Almost everyone I know has forgotten to turn off the coffee pot from time to time. We tend to think a cleanser will get the grime out but, in reality, it scratches the carafe and it will break easier.
The best way to remove those tough baked on stains is to put some ice cubes into the carafe, and slosh them around until all the burnt coffee is gone. Simple, easy, and very clever.
By gem from Gordonsville, VA
Sprinkling a little baking soda in there and adding just enough hot water to make a paste will also work to clean a carafe without scratching it up.
I make coffee and put it in a carafe. It keeps it hot then warm, but I nuke it when I want a fresh cup. But coffee has a tendency to stain plastic, so before I donated it, I wanted to clean it good. For a long time, I didn't know how to clean all the pieces parts. When I realized you take the bottom off, then you can take out the silver inner parts and clean it all.
Removing stubborn coffee stains on cups and carafes can be done in one of the several ways found in this page, including using denture tablets, baking soda, or lemon juice mixed with salt or sugar. This is a page about cleaning a coffee stain off of a plastic carafe lid.