Many years ago I raced on a velodrome with an amateur racing club so of course that's fixed gear without any brakes. Of course as a teenager my racing bike was my everything bike so I commuted around the place fixed gear as well although I always fitted a front wheel brake for road use.
There's definitely something macho about going fixed gear but if your not racing on a velodrome then being able to coast is a very sensible and practical.
One minor advantage of being fixed gear is that its dead easy to do a standstill but if you have any hill descents to do then fixed gear can get pretty scary sometimes.