A razor used by Malcolm Reed
A razor of the type used by Geordi La Forge and Benjamin Sisko
Tuvok's razor blade
A razor is a device used to remove body hair, most often associated with shaving beards. (ENT: "Unexpected")
Lieutenant Malcolm Reed was of the opinion that an officer at his best should always be well-groomed. When he and Commander Charles Tucker III were stranded in the Enterprise NX-01's Shuttlepod 1 with no hope of being rescued in time, Reed still insisted on shaving his beard with a razor so that his body would look well-groomed when found. (ENT: "Shuttlepod One")
Geordi La Forge shaving
In early 2364, Lieutenant Commander Data gave Lieutenant Geordi La Forge a razor that he had adjusted to perfect efficiency. La Forge, however, preferred his regular razor, as he was of the opinion that shaving was a Human art form and that technological perfection could shave too close. (TNG: "Code of Honor")
Captain Benjamin Sisko used a razor similar to La Forge's to shave his bald head from time to time. (DS9: "The Sword of Kahless")
Lieutenant Commander Tuvok used a more old-fashioned razor blade adorned with alien writings. In an alternate timeline of 2372, he was permanently blinded, making shaving a difficult task. After cutting himself on more than one occasion, Seven of Nine offered to help him, but he refused. (VOY: "Year of Hell")
In 2375, Counselor Deanna Troi shaved Commander William Riker's beard with a razor blade, while the two of them bathed in a bath tub on the USS Enterprise-E. He later joked to Lieutenant Commander Data that it made his face feel "as smooth as an android's bottom", though Data disagreed. (Star Trek: Insurrection)