I have a Cuttlebug which is just like the Big Kick except a different manufacturer and I use the Sizzix dies to cut material on mine all the time - 8 layers thick. If you look at my avatar the flowers on the quilt where cut with the flower die from Stampin Up/Sizzix on the Cuttlebug. I love it! I also have a die that cuts 5" scalloped squares that I use for my rag purses and quilts. PM me for any info, I'd be happy to answer any questions.