Fixtures, countertops cabinets, and appliances which are connected or hard mounted are considered to become part of the house, so removing any of these items would give rise  to liabilty--most likely civil liability (you could be sued) rather than criminal, though criminal liability is possible in egreguous cases.You may remove items which are not hardmounted, such as a countertop microwave, tables, a moveable (not attached) island, etc.