You obviously realize that there are lots of uses for lasers in measurement, but I think I have a particularly interesting application. I'm bound not to tell you too much about it, but I'm sure that if you thought about it then you'd be able to fill in the blanks.
Some researchers I know are currently using lasers to measure the speed of air in a hypersonic wind tunnel around an object which is designed fly through the air very, very quickly (~Mach 15, of the top of my head). A pretty powerful Class IV CO2 laser is split up into two parallel beams. I'm not too sure of the arrangement, (because I haven't been allowed to play with it..!), but using a system of mirrors/prisms one of these beams gets routed through the hypersonic air flow, and the other flows through stagnant air. The path lengths of the two beams is identical. The beams then meet up again, and the spacing of the resulting interference fringes (as recorded on some photographic film) is used to determine the speed of the moving air.