Fujifilm X-T20 has a Fujifilm X lens mount and currently there are 33 native lenses available for this mount.
Fujifilm X-T20 doesn't have a sensor based image stabilization system but 8 of these lenses already comes with optical image stabilization.
Since Fujifilm X-T20 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 X-T20.
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Fujifilm X-T20 Lenses with Image Stabilization
Fujifilm X-T20 Lenses with Weather Sealings