big name
1. A person of great importance, fame, success, or reputation in a particular field or area. I would make sure she knows who you are, she's one of the big names in computer design. After the success of his first novel, he instantly became a big name in literary circles.
2. adjective Of great importance, fame, success, or reputation in a particular field or area. Often hyphenated. We've got a lot of big-name singers who perform at our annual charity event.