We demonstrate ultrafast high-power laser operation, both at multi-kW average power in ultrashort-pulsed operation over extended bursts with hundreds of MHz intra-burst repetition rate from a modified TruMicro 6020 industrial laser, as well as uninterrupted, quasi-CW operation at an average power beyond 1 kW obtained with a TEM00 multipass thin-disk laser booster amplifier. The pulse repetition rate can be varied from 50 MHz to beyond 1 GHz, with single-pulse energies well above 10 µJ and single-pulse peak powers far beyond 10 MW without a post-compressor. These systems are attractive, e.g., for high-throughput materials processing or for driving nonlinear processes.