
Also, see Sheldon's article on why people like fixed gear bikes.
Many bikes and frames are suitable for fixed gear use, but older road bikes are the ones most commonly available. A typical example is this 10-speed Univega (pictured above). Made in Japan, around 1977-78, the bike came with a steel lugged frame, friction shifting, 27 inch wheels with steel rims, a 5 speed freewheel, and double chainrings.
If you are looking for an inexpensive way to get into fixed gear riding, you may want to consider starting with an older road bike.If you are not sure what to look for, see Sheldon's article Fixed Gear Conversions., the "Frames for Fixed Gear Conversion" section.
Also, if you are not sure how to determine if the bike fits you, please read Sheldon's article on bike fit. And some additional thoughts for conversion useage.
Warning: Fixed-gear riding is habit forming, and once you get hooked, you are likely to want to upgrade to a better fixer!