Use baking soda on a wet toothbrush for the nooks and crannies. It will never scratch, and It’s great for detailing plastic surfaces. that would be damaged by harsher cleaners such as ammonia (ammonia will dissolve many plastics). Baking soda also details polished stainless steel. Whatever you use, be sure you do an online search for safety if your chemicals might be inadvertently combined. For example, bleach and ammonia produce extremely toxic gasses if combined.
Baking soda is about as good and far cheaper than Mr Clean Eraser. And it also works well on painted surfaces. It rinses off with plain water.
For any surfaces that can handle it, paint remover is an option. I’ve used it on a grate for a gas stovetop. But be careful! Many chemicals will damage stainless steel, aluminum, etc.
For any metal items small enough to fit in a pot, you can use automatic dish detergent to clean everything from burned on food residue to dried on grease. You put your item in, add a tablespoon or two of automatic dish detergent, fill your pot with water, and bring to a simmer, and let it cook for 20 minutes or so. The grease will float to the top, and everything else will soften up. Then remove your item with tongs and while it is still hot, scrub it with an SOS pad to remove anything left. I have used this method to clean grates from a gas stovetop. They usually don’t fit all the way in so I put them in vertically, clean one side and then turn it around and clean the other.
And for any chemical, always always read the entire label. It could save you a lot of grief.