Fujifilm X-M1 has a Fujifilm X lens mount and currently there are 149 native lenses available for this mount.
The latest released lenses that are compatible with the X-M1 are the Meike 56mm f1.7 X, the Sigma 15mm f1.4 DC C and the Meike 23mm F1.4 APS-C.
Fujifilm X-M1 doesn't have a sensor based image stabilization system but
22 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