Significance Even though bright X-rays below mega-electron volt photon energy can be obtained from X-ray free electron lasers and synchrotron radiation facilities, it remains a great challenge to generate collimated bright gamma-ray beams over 10 mega-electron volts. We propose a scheme to efficiently generate such beams from submicron wires irradiated by petawatt lasers, where electron accelerating and wiggling are achieved simultaneously. With significant quantum electrodynamics effects existing even with petawatt lasers, our full 3D simulations show that directional gamma rays can be generated with thousand-fold higher brilliance and thousand-fold higher photon energy than those from synchrotron radiation facilities. In addition, the photon yield efficiency approaches 10%, 100,000-fold higher than those typical from betatron radiation and Compton scattering based on laser-wakefield accelerators.