door stops: I just push the old flip flop under the door but you could glue several together then use an electric knife (I haven't used an electric knife in the kitchen in years but it is great for cutting foam and soft rubber) to shape it into a wedge.

dog toys: my dogs love to chew on them so I throw the old ones outside and use them for toys.

door jamb stops: taking your idea about cutting them in circles just take a screw or glue and attach them behind door handles on your wall to protect your walls from handle dings. (Ok I admit one more ding on the walls in this place wouldn't show but if you have walls worth protecting it would work

Spacers between pictures or mirrors you want to store (or move in my case since I am trying to pack all these valuable (said facitiously) objects I can't throw away) cut them in pieces and put four or five between the glass mirrors or pictures and they won't rub together and break.

Furniture movers: People are charging $10 for four discs that are smooth plastic on the bottom and rubber on the top. You slip them under the bottom of the furniture and it slides saving your back. You could make your own with some plastic (from old jugs?) and some good strong glue using the cut up flip flops for the rubber part that keeps the furniture from sliding off the plastic when you push it.

If you have daughters they could cut them in funky shapes and make mobles that would look great if the flip flops are bright colors.

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