The phrase "a favourite example is" is correct and usable in written English.
It can be used when introducing a specific instance or illustration that supports a point or argument you are making.
Example: "When discussing the impact of climate change, a favourite example is the melting of the polar ice caps."
Alternatives: "one notable example is" or "a prime example is".
A favourite example is time-banking, or bartering time and expertise.
A favourite example is the recent awarding of a contract to publish the state-owned South African Airways in-flight magazine to a young black company, after many years with an established white one.
A favourite example is that it took Southwest Airlines and Dollar Rent A Car only a month to hook up their systems so that visitors to Southwest's website could easily reserve a rented car after they had bought a plane ticket.
A favourite example is the waterfall illusion.
My favourite example is a recent piece in the Times by the venerable William Rees-Mogg, which looked forward to what the headline called "a new political army" marching on Westminster.
As he lists each example, the minister stops in each case to marvel at how the previous rules were allowing Japanese technology to go to waste.Mr Ishihara's favourite example is the spread of a smart card that deducts the fares of railway passengers as they pass through ticket-gates without their needing to insert the card physically into any device.
His favourite example is Northern Ireland, but this is actually a very poor example.
His favourite example is video shops.
My favourite example is that when we started Cuusoo platform, we said what [we thought] was going to be the next thing and the first two things that hit the mark for production were the Shinkai and Hayabusa.
My favourite example is the face-off between two enormous paintings in Tate Britain's west wing.
But his favourite example is the group who spent months collecting his garbage trying to find some dirt on him.
