Distinctive looks (from Google!)
Something that has a special quality or feature which makes it easily recognizable and different from other things of the same type.
As pps have said, famous people with distinctive looks are ... Tilda Swinton, Erin O'Connor, Barbara Streisand, Kevin Bacon, William Defoe, Timothy Spall, Bette Midler, Cher, Benicio Del Toro, Owen Wilson, Jimmy Nail, Renee Zellwegger, Lady Gaga etc...
People with distinctive looks will be quite unique looking, and won't look like most others in their industry, and are often more successful because they don't look generic. Models with unique/distinctive faces are usually the most successful. (These days.)
I think it's quite a nice thing to be called, but some may be offended by it, as it could be understood as saying the person is not conventionally pretty.
It's like someone asking if someone likes a particular thing they have is OK/good/nice, and the person saying 'well, it's different...' It's not a compliment.
With what that person said @Mushroomketchup Context is important. I don't know how they meant it. Only they will know that. I am sure they meant it in a nice way though. 