The LLL Laser-Fusion Program includes an active experimental effort to measure the distributions in energy, space and time of pulses of soft X-rays (.2-10 keV) radiated by laser-induced plasmas. Requirements for high resolution in these measurements clearly preclude the use of conventional X-ray diagnostic techniques. We will describe the following as examples from our program of advanced X-ray instrument development. 1. Wavelength-dispersive spectrographs with fractional-electron volt resolution at several keV and imaging systems with 3 micron resolution over a 100 micron source. 2. Advanced solid state X-ray sensors that recover data from these instruments in a more expedient manner than photographic film. 3. Microcomputer-controlled stand-alone spectrograph data systems and minicomputer-based integrated systems that can deal with the large array of data generated by the high resolution instruments. 4. An electrostatically-deflected X-ray streak camera with moderate spectral and spatial resolution and a timing resolution of better than 15 ps.