Canon 1D MIII has a Canon EF lens mount and currently there are 257 native lenses available for this mount.
The latest released lenses that are compatible with the 1D MIII are the Samyang MF 14mm F2.8 Mk2, the Samyang MF 85mm F1.4 Mk2 and the Irix 45mm F1.4.
Canon 1D MIII doesn't have a sensor based image stabilization system but
78 of these lenses already comes with optical image stabilization.
Since Canon 1D MIII has a APS-H sensor, it has a focal length multiplier of 1.3� so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on 1D MIII.
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Canon 1D MIII Lenses with Image Stabilization
Canon 1D MIII Lenses with Weather Sealings