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We consider nonlinear interaction of superpower laser pulses of relativistic intensities with nanolayers and solid-plasma targets toward the production of high energy-density electron and positron bunches along with high energy photon fluxes. It is shown that petawatt lasers are capable of producing via two-target scheme high density field-free electron/positron bunches and substantial amounts of γ-quanta with energies up to 200 MeV. For actual supershort and tightly focused–strongly nonplane ultrarelativistic laser pulses of linear and circular polarizations, the 3D3V problem is solved via numerical simulations.