I am fairly new to the whole stamping experience, but I do know that I like saving space and keeping "like" things together. So, I tackled my wood-mounted stamps, to make them into stamps I could store in DVD cases (without hubs, I get from Amazon) with my clings.
In researching ways to do this, I found that the EZ Mount system works well, but is kind of expensive. Many times I was able to remove the rubber stamp, with the foam intact, from the wood. I thought it would be a waste to remove the foam, only to put the EZ foam on. And still, I wouldn't have the images on the stamp itself. I was able to solve this with the EZ foam, by using StazOn to stamp on the EZ foam, before remounting the stamp; however, I still wanted to be able to pare the EZ expense by reusing the rubber stamp with the foam intact.
I finally found a solution that works (for me.) I found some Cricut
Cling vinyl (at Joann.com), in white. I can use StazOn to stamp the image onto the cling side of the vinyl, cut it out, and then put it directly onto the foam backing that WAS stuck to the wood. Often the foam still had plenty of adhesive stickiness and I didn't have to add any more glue. Other times, I just added some Zig 2-way glue, and it holds just fine. This also works for those unmounted rubber stamps I have bought online, that had cling foam, but didn't have images on them.
The, now-imaged, white cling side of the Cricut Cling vinyl sticks well to the acrylic stamp blocks. One 12"x24" roll goes a very long way. Yay!!!!