Please consult this list of materials that are safe for laser cutting. Keep in mind that most materials should have a maximum thickness of ~1/4″ 

Safe to CutEngraving OnlyDo Not Cut
Acrylic, Plexiglass, Mylar (for stencils), StyreneGlass, Metals, Anodized aluminum, Marble, SlatePVC, Polycarbonate, ABS, HDPE, epoxy, fiberglass, most foams
Plywood, MDF, most other wood
Cardboard, Paper, Card Stock
Fabric, Leather, Felt, Cork, Magnetic sheets