The right to promote oneself.
The right to publish.
The main example is individualized free speech, the right to become a town crier or mount a soap box and draw attention to oneself.
But property rights are, in general, expressive rights.
Another important example is the purported right to choose a consenting adult as an intimate partner or “significant other.” The Supreme Court, in Bowers v. Hardwick (1986) turned down the idea that all private sexuality constituted a fundamental right.