Canon 10D 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 10D are the Samyang MF 14mm F2.8 Mk2, the Samyang MF 85mm F1.4 Mk2 and the Irix 45mm F1.4.
Canon 10D doesn't have a sensor based image stabilization system but
78 of these lenses already comes with optical image stabilization.
Since Canon 10D has a APS-C sensor, it has a focal length multiplier of 1.6× 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 10D.
You may also also be interested in these:
Canon 10D Lenses with Image Stabilization
Canon 10D Lenses with Weather Sealings