Over the past ~20 years, there has been a significant advancement in knowledge regarding severe thunderstorms and tornadoes through the use of high-resolution data from high-frequency, truck-mounted, mobile Doppler radar systems. Recently, two advanced radar technologies, phased-array radar (PAR) and dual-polarization radar, have offered promise as a way to learn even more about severe weather systems. PAR allows for the collection of increased temporal resolution data of the phenomenon being studied. In turn, the processes that a quickly-evolving feature undergoes can be analyzed more accurately. Dual-polarization radars scan with the same update times as conventional mobile Doppler radars, but provide information about several characteristics of the hydrometeors being sampled. This information also can provide insight into processes occurring within the phenomenon of interest. Recent past observational work that has used these radar technologies to better understand supercell thunderstorms and tornadoes will be summarized. In addition, ongoing efforts to generalize results from past case studies to large numbers of storms will be motivated and some results discussed.