Fujifilm X-A1 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-A1 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-A1 doesn't have a sensor based image stabilization system but
19 of these lenses already comes with optical image stabilization.
Since Fujifilm X-A1 has a APS-C sensor, it has a focal length multiplier of 1.5x 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-A1.
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Fujifilm X-A1 Lenses with Image Stabilization
Fujifilm X-A1 Lenses with Weather Sealings