Sony FX6 has a Sony E lens mount and currently there are 363 native lenses available for this mount.
The latest released lenses that are compatible with the FX6 are the Tamron 12-20mm f2.8, the Viltrox 26mm f2.8 FE and the SG-image AF 35mm f2.2.
Sony FX6 doesn't have a sensor based image stabilization system but
36 of these lenses already comes with optical image stabilization.
Since Sony FX6 has a Full frame sensor, it has a focal length multiplier of 1x so lenses will provide their original focal length on FX6.
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Sony FX6 Lenses with Image Stabilization
Sony FX6 Lenses with Weather Sealings