You can use Steelo with the soap attached and some elbow grease this gets them back to new - but you must use the Steelo with the soap attached - it doesn't scratch.
How about scrubbing them with baking soda? It works really good on a lots of things, try it and see.
If your stove rings are aluminium do NOT put them in the dishwasher. Most aluminium products will turn BLACK as a result. (And I'm still looking for a better way to clean them too!)
Either run them thru the dishwasher, or soak them in a d/w soap solution overnight
I gave up on cleaning them & started wrapping them with aluminum foil. Not the prettiest, but easy to change & always looks better than the baked on mess! Then, my husband bought the black porcelain rings, much easier to clean & the black doesn't show the crud as readily as the silver metal.
If you soak them overnight with farbric softener they will be easy to clean.
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