"premier example" is a correct and usable phrase in written English.
You can use it as an adjective to describe something, preferably something that is first or the best example of its kind. For example, "This is the premier example of a hand-crafted tapestry".
They are the premier example of the national trend toward bigger prizes and more gambling venues.
Boccaccio is a premier example of that rare species, the one-great-book great writer.
This was a premier example of a genre Hitchcock virtually invented the romantic thriller.
"If you are talking about a Modernist building in New York, that's a premier example," said Mr. Prudon, referring to the whole complex.
For many years before his death, he was seen as Britain's foremost scientist, and he became his era's premier example of the scientist as celebrity.
And Bruce Hoffman, in his authoritative study "Inside Terrorism," describes the affair as "the premier example of terrorism's power to rocket a cause from obscurity to renown".
Together, they have premier examples of work by Turner, Constable, Stubbs, Picasso, Van Gogh, Giacometti, Winslow Homer, Edward Hopper, Childe Hassam, Josef Albers, Pollock, Milton Avery and, it seems on a whirlwind visit, just about everyone else.
For years, Guinea-Bissau has been considered one of the world's premier examples of a narco-state, one where the government hierarchy is deeply implicated in the drug trade.
Both authors were in their 20's, and the juxtaposition of what they wrote furnishes one of the premier examples of how a scientist and a writer dealt with the same data -- Charles Darwin with observations, measurements and collections, Herman Melville with symbols that expressed his perception of the human condition.
The endemic Hawaiian silversword and lobeliad lineages are two of the world's premier examples of plant adaptive radiation.
Muscle Shoals, Hi Records and Alan Toussaint recordings were tremendous influences on me and are premier examples of this concept.
