If your jar is melted or broken, don't recycle that lid. I have found more uses for them than I can remember. Here are just a few.
Source: Just being thrifty!
This page contains the following solutions.
Use old peanut butter lids to set in the cabinet under containers of sticky stuff, like honey or molasses jars, to catch the little drips that always seem to drip down the sides and make a mess.
A great "toy" for a toddler: Save all your plastic jar lids (from mayonnaise, peanut butter, etc.) Save different colors and sizes, the more the better. I did this for my kids and grandkids.
I got tired of misplacing or losing the lid or cap to a bottle or jar. I put a small bowl on the kitchen counter. In it I keep spare lids and caps from some of the things we use.
Cooking Oil - To stop the drips from your cooking oil bottle messing up the cupboard shelves, try keeping the bottle on an inverted jam (jelly) jar lid ~ I find the lid from 'Nutella' spread is just the right size.