While it is tempting to make a joke of this and say that the best non-mom use of a nursing pad is as an on-the-fly young boy's yarmulke, in all seriousness, I've found some great uses for stuff I didn't even have in my life before the Bug.
1. Diapers: disposable diapers absorb vast quantities of liquid. They are awesome for wiping up spills. Recently, I used some ones the Bug had outgrown to get the standing water out of my dishwasher which crapped out on us mid-cycle. My mother-in-law who is a painter uses outgrown disposable diapers
Traditional and pre-fold cloth diapers are awesome for dusting and washing windows. Just be sure to clean them first.
2. Wipes: OMG! these things are awesome. They can be used to clean almost anything, they remove make up gently, are gentler on hands than hand sanitizer, wipe up messes, and make passable kleenex. If there is a "fur baby" in your life, wipes can be used to clean dirty paws, face smudge, and messes that the furry little bastard may make. Hint: get the "gentle" or otherwise marked unscented option... firstly, it is better for baby's delicate skin, secondly if you use it on your face, you won't smell like whatever some chemist thinks a baby bum should smell like.
3. The boxes diapers come in are fantastic boxes. They have handles, they are sturdy. I'm totally waiting until after we've finished moving to even consider switching to cloth.
4. Diaper rash cream: it works by almost anything that makes you red or itchy. Just don't use the Boudreax's Butt Paste... it is great on baby bums, but it smells like bacon. Trust me, you don't want to smell like that all day because of a mosquito bites.
I'm going to continue looking for new uses for these things. I'm all about frugal, and I'm all about having fewer stacks of crap and not having a 500 lb diaper bag.