Sony A6500 has a Sony E lens mount and currently there are 83 native lenses available for this mount.
A6500 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on A6500.
Since Sony A6500 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 A6500.
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Sony A6500 Lenses with Image Stabilization
Sony A6500 Lenses with Weather Sealings