Semiconductor NanoWire (NW) lasers are highly promising for making new generation coherent light sources with the advantages of ultra-small size, high efficiency, easy integration and low cost. Over the past 15 years, this area of research has been developing rapidly, with extensive reports of optically pumped lasing in various inorganic and organic semiconductor NWs. Motivated by these developments, substantial efforts are being made to make NW lasers electrically pumped, which is necessary for their practical implementation. In this review, we first categorise the NW lasers according to the lasing wavelength and wavelength tunability. Then, we summarize the methods used for achieving single-mode lasing in NWs. After that, we review the reports on lasing threshold reduction and the realization of electrically-pumped NW lasers. Finally, we offer our perspective on future improvements and trends.