I was mainly thinking about musical artists whose songs have style that is very recognizable as an "artists name" song or as a specific genres song. Not a super pressing question but just something that I am curious about.
Perhaps you're looking for quintessential (adj).
Defined by Collins:
Quintessential means representing a perfect or typical example of something. [formal]
Everybody thinks of him as the quintessential New Yorker.
There is also archetypal:
Defined by Collins
Someone or something that is archetypal has all the most important characteristics of a particular kind of person or thing and is a perfect example of it.
I think you may be looking for iconic.
- Symbolic, emblematic, or representative: a classroom scene that is iconic of what is wrong with the education system.
Picasso is the iconic example of the Cubist movement in 20th century art.
When something is the best it can be or reaches the highest point, it is exemplary and thus worth imitating. Exemplary comes from the Latin exemplum, meaning "sample" or "example." While some people and things are held as examples of what not to do, an exemplary person or thing is always a positive example
Banksy represents the greatest global artist of the new millennium, an exemplary case of popularity for a living author