The ENGINEER PZ-59 neji-saurus heavy-duty screw removal pliers will remove problematic ruined screws quickly with ease. Crafted in Japan, the plier's unique jaw groove and lip design, allows you to firmly grip a screw and simply twist it out (normal pliers would just slip off) - the jaws can even grip & extract truss head screws (low-profile dome heads) as well custom/specialized and tamper-proof screws.
The PZ-59 jaws also have an 'inter-meshed' jaw groove arrangement, which allows very thin materials (such as shim) to be gripped & held firmly (see gallery)