Screws often strip out of cheap kitchen cabinet wood, because the wood isn't solid. Cheap cabinets are often made of particleboard, or plywood. Particleboard, often referred to as MDF, is essentially sawdust and glue, formed under intense pressure. It does not hold up well to the repeated stress of pressure from screws or nails.
Using a solid wood facer or face frame provides a better surface for anchoring screws. Taking care not to overtorque the screws when installing them reduces stripping. Using particle board screws and thread-locker, or clear nail polish on the screw threads before installing, also reduces screw stripping.