I have a cordless drill and haircutter that both have dead Ni-Cad batteries in them. I don't use them much and they work fine when plugged in so I did not update their batteries.
I found two portable vacuum cleaners. The Ni-Cad batteries on both of them were shorted. Instead of zapping away the shorts I replace the batteries with old 18650 Lithium cells from thrown away laptops. I have many 18650 cells waiting to be used in a new project.
"Emergency lights"? I recently replaced my smoke detectors. Each one uses TWO 9V alkaline batteries. I wondered if the second battery was in case the first battery failed, but no, one battery is for the smoke detector circuit and beeper and the second battery is for the emergency light to light up the smoke.