The Big Shot is compatible with any die made by any company, making it one the most versatile die-cutting machines on the market today. Using the Big Shot Platform, you can use dies, embossing plates, and other products from a wide variety of sources.
When creating your sandwich stacks to run through your Big Shot, always err on the thin side. You may need to play around with using the Thin Die Adaptor or adding a shim to create the right amount of pressure and achieve success. You should feel some resistance and hear a few pops and clicks, however never force a sandwich stack through your Big Shot. Every machine is tensioned a little different and will need fine tune your sandwich stacks when using competitors dies.
Here are some very helpful guides for creating sandwich stacks for the Big Shot for a variety of manufacturers' dies: