Canon 1D X 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 X are the Samyang MF 14mm F2.8 Mk2, the Samyang MF 85mm F1.4 Mk2 and the Irix 45mm F1.4.
Canon 1D X doesn't have a sensor based image stabilization system but
78 of these lenses already comes with optical image stabilization.
Since Canon 1D X has a Full frame sensor, it has a focal length multiplier of 1x so lenses will provide their original focal length on 1D X.
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Canon 1D X Lenses with Image Stabilization
Canon 1D X Lenses with Weather Sealings