Accucut can cut vinyl. I use it to cut wood veneer for inlay marquetry and have cut chipboard with no problem. With the accucut products, you have to purchase dies that are dedicated to a specific size & shape. If you cut lots of strips, squares, triangles etc. that's a good choice. You can cut multiple layers without a problem. If you do a lot of applique and are only going to do a small number of a specific design, then a computer operated cutter might be something better suited.