That's really funny.
My cats don't dive into the trash, but have their own funny habits:
My old cat used to hide pencils, nailfiles and q-tips in her carrier. When she passed away I cleaned it all out and now I have about 30 files as I never knew where they went to!
One of my other cats used to hide anything that was shiny, like juwelry & tinfoil in a cupboard. When we moved we discovered his little treasury.
Another cat used to go to the neighbors house and get something that belonged to the kids, like teddy bears and socks. Had to go there about once a month to return the stuff she stole from them. Very embarressing!