Nikon D80 has a Nikon F lens mount and currently there are 278 native lenses available for this mount.
Nikon D80 doesn't have a sensor based image stabilization system but 86 of these lenses already comes with optical image stabilization.
Since Nikon D80 has a APS-C sensor, it has a focal length multiplier of 1.5× 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 D80.
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Nikon D80 Lenses with Image Stabilization
Nikon D80 Lenses with Weather Sealings