Fujifilm X-M1 has a Fujifilm X lens mount and currently there are 92 native lenses available for this mount.
The latest released lenses that are compatible with the X-M1 are the Rokinon 8mm f2.8 Fisheye, the Meike 55mm f1.4 AF and the Sigma 10-18mm F2.8 DC DN C.
Fujifilm X-M1 doesn't have a sensor based image stabilization system but
19 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.
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Fujifilm X-M1 Lenses with Image Stabilization
Fujifilm X-M1 Lenses with Weather Sealings