Sony A7 has a Sony E lens mount and currently there are 102 native lenses available for this mount.
Sony A7 doesn't have a sensor based image stabilization system but 10 of these lenses already comes with optical image stabilization.
Since Sony A7 has a Full frame sensor, it has a focal length multiplier of 1x so lenses will provide their original focal length on A7.
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Sony A7 Lenses with Image Stabilization
Sony A7 Lenses with Weather Sealings