Sony NEX-F3 has a Sony E lens mount and currently there are 218 native lenses available for this mount.
The latest released lenses that are compatible with the NEX-F3 are the Samyang 14mm F2.8, the Samyang 8mm F2.8 Fisheye and the Samyang 85mm F1.4.
Sony NEX-F3 doesn't have a sensor based image stabilization system but
43 of these lenses already comes with optical image stabilization.
Since Sony NEX-F3 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 NEX-F3.
You may also also be interested in these:
Sony NEX-F3 Lenses with Image Stabilization
Sony NEX-F3 Lenses with Weather Sealings