The phrase "a famous example is" is correct and usable in written English.
You can use it when introducing a well-known instance or case that illustrates a point you are making.
Example: "In discussing the impact of climate change, a famous example is the melting of the Arctic ice caps."
Alternatives: "a notable instance is" or "a well-known case is".
A famous example is the word "Paris", which many beginners pronounce with the "s".
A famous example is the granting of amnesties by South Africa's Truth and Reconciliation Commission in return for acknowledgment of guilt.
We start with a conjecture, a statement that might or might not be true (a famous example is Fermat's Last Theorem, finally solved by Andrew Wiles in 1995).
A famous example is Auguste Rodin, the French sculptor, who was inspired by Michelangelo's unfinished works, specifically sculptural fragments of torsos and limbs and the "Slaves" originally planned for the tomb of Pope Julius II.
A famous example is the Goetz medal, which appeared in Germany after a U-boat torpedoed and sank the British liner Lusitania off the coast of Ireland in May 1915 with the loss of 1,198 lives, including 128 Americans.
Many of these were operated by monastic brotherhoods in order to guarantee haven for travelers in dangerous regions; a famous example is the hostel in the Great St. Bernard Pass in the Swiss Alps, which was founded in the 10th century by St. Bernard of Montjoux and is still operated by the community of Augustinian monks.
A famous example was the Huntington Hartford Museum, also known as the Gallery of Modern Art, at 2 Columbus Circle in Manhattan.
A famous example was the opposition by the Kennedy clan to a wind farm (i.e. a forest of giant windmills) off the coast of Massachusetts.
A famous example was the cross-references provided for the word "anthropophagy," or cannibalism: they directed readers to the entries for "Eucharist," "communion" and "altar".
A famous example was the 1979 Cassis de Dijon ruling which said that a product in this case, a French liqueur approved for sale in one country must be accepted by others.
A famous example was the collection based on Paris hobos that John Galliano did at Dior, shortly after he was hired by Mr. Arnault to shake the bourgeois off the label.
