A TIRF microscope is a conventional epi-fluorescence microscope with high-NA lenses and laser illumination. The objectives are often "Epi-illumination" lenses in that the excitation light travels along the outside diameter of the lens, rather than through the entire lens.
(From Nikon TIRF site)
Zeiss TIRF system
Example Images from TIRF microscopy
Mouse myoblast showing myosin pH domains
Imaging Exocytosis and Endocytosis
by Total Internal Reflection