In TNG and DS9, Starfleet members and soldiers/officers in the Bajoran militia use long distance communicators shaped like the symbols of the organizations they serve attached to their uniforms- do military/security forces of any other nations use similar devices?
The Klingons used a couple of different combadge styles.
This kind seen several times in TNG.
Interestingly, the website Roddenberry.com (seller of 'officially licensed" Star Trek props and merchandise) sold a set of 'alien combadges'.
This is a 1:1 scale prop of five alien badges used on STAR TREK: The Next Generation, Deep Space Nine, and Voyager. This set includes the Klingon and Romulan badges, as well as badges used by alien races: Prytt, Angosian, Hierarchy and Ledosian. The badge set also includes an attractive display plaque comes painted in a metallic finish.