Olympus E-M5 III has a Micro Four Thirds lens mount and currently there are 101 native lenses available for this mount.
E-M5 Mark III also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on E-M5 Mark III.
Since Olympus E-M5 III has a Four Thirds sensor, it has a focal length multiplier of 2x 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 E-M5 Mark III.
You may also also be interested in these:
Olympus E-M5 III Lenses with Image Stabilization
Olympus E-M5 III Lenses with Weather Sealings