Yikes! That second photo looks as if the plate blocks were mounted in old Crystal Mounts. Those mounts haven't been made in decades, but they are still housing many collections and they are notorious for curling, discoloring and ruining stamps in the process.
There are a number of alternative storage solutions for plate blocks both in and out of the stamp collecting community. If you opt for items specifically geared for stamps (i.e. Vario pages, etc.), the prices can get a bit high, depending on the number of plate blocks you have to store.
Personally, I am an advocate for these Art Profolio storage systems. They can be had in sizes from 4x6 all the way up to poster size, they are archival safe and I use them to store many philatelic items, including plate blocks. Depending on your location, you can find these readily available at most larger craft stores. In fact, if you shop on-line coupons for stores such as AC Moore, Michael's or Hobby Lobby, you can usually get 40% or 50% off coupons making these items very attractively priced.
http://www.artprofolio.com/Art_profolio.htm