The current popular actively developed ones are: V-Ray (which we use in http://Clara.io), Arnold, Maxwell, Pixar's RenderMan, and KeyShot.
Less popular but actively developed ones are: RedShift, Furry Ball, 3Delight, NVIDIA iRay, Octane/Bridge...
And then the ones that are integrated into the 3D packages themselves like Blender's Cycles, Modo's renderer, Cinema 4D's renderer, Houdini's Mantra, Mental Images (included in most Autodesk products.)
Then the smaller opensource ones: Sunflow, Lux, Corona, Mitsuba, Pixie...
That is a lot of renderers and I am sure that I am missing quite a few.