General:
* Renowned
* Celebrated
* Well-known
* Notable
* Distinguished
* Prominent
* Eminent
* Illustrious
* Popular
More specific:
* For accomplishments: Acclaimed, esteemed, lauded
* For notoriety: Infamous, notorious
* For being talked about: Trending, buzzworthy
* For being widely recognized: Iconic, legendary
* For being admired: Beloved, revered
The best synonym to use will depend on the context and the specific meaning you want to express.