Which HDMI works best on Dish Network?

HDMI is a digital interface that conforms to specific standards set out by the HDMI Organization. Any licensed and tested cable that conforms to the specification for HDMI cabling will operate as well as any other.

The nature of the data transmission used by HDMI interfaces means that no cable will provide better quality than any other. Claims by manufacturers that their cable will provide "better quality" images are at best misleading. While some cables may be more robust than others this does not in any way affect image quality.