Fujifilm X-M1 has a Fujifilm X lens mount and currently there are 83 native lenses available for this mount. Fujifilm X-M1 doesn't have a sensor based image stabilization system but 18 of these lenses already comes with optical image stabilization.
Since Fujifilm X-M1 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-M1.
You may also also be interested in these:
Fujifilm X-M1 Lenses with Image Stabilization
Fujifilm X-M1 Lenses with Weather Sealings