Sony A9 III is the Speed King of the Camera World thanks to its global shutter full-frame sensor
Sigma just released new firmware updates for three of its E-mount lenses, bringing the total number of lenses that are compatible with Sony A9 Mark III's 120fps shooting speed to 10! However, unlike some of the fully compatible Sony lenses, these Sigma lenses are not fully compatible as they can't be used in continuous Auto Focusing (AF-C) mode but just (AF-S) mode. The fastest speed they support AF-C is still 15fps.
Here is the list of Sigma lenses that shoot at 120fps with the Sony A9 III:
These are some of the best lenses Sigma sells currently, but the $2999 Sigma 500mm f5.6 DG DN OS Sports is my favorite by far.
Additional read: Sigma 500mm F5.6 vs Sony 200-600mm F5.6-6.3 Size and Feature Comparison
Sigma 500mm F5.6 is popular amongst Bird and Wildlife Shooters
To take advantage of this capability, visit this page and make sure you have the latest firmware version of your E-mount Sigma lens.