The state-of-the-art ultrashort, few-cycle laser pulses recently have entered the regime of the 100 TW-class power and at
10 Hz repetition rate. We explore the potential of such pulses for efficient electron acceleration. The numerical modelling
predicts that hundreds-MeV, nC-class electron bunches can be generated, transferring up to 58% of the laser pulse energy
into electrons above 15 MeV. Furthermore, we exploit such electron bunches for the generation of a secondary source of
hard X-ray Bremsstrahlung in a high-Z converter. The results suggest that up to 30% of the laser energy can be transformed
into hard X-rays with energy above 10 keV. Such an exceptionally high conversion efficiency is achieved through increased
laser-to-electron conversion due to the short duration of the laser pulse and the high energy of the accelerated electrons,
where radiation losses in the converter significantly outweigh collisional losses. This Bremsstrahlung emitter could function as a generator of tertiary particles, including neutrons released through photonuclear reactions.