The phrase "more familiar example" is correct and can be used in written English.
It is typically used when comparing two or more examples, with one being more well-known or recognized than the others. Example: "Let's look at a more familiar example, like math problems, before we move on to more complex equations."
A more familiar example is that of three-dimensional space.
Or to use a more familiar example, a business that looks less like Google and more like Ford.
A more familiar example is 'the lottery paradox'.
Kant mentions Mandeville, but Hobbes' solution to the "state of nature" offers a more familiar example.
Today, a (literally) more familiar example is provided by dogs (Canis lupus familiaris), several hundred distinct breeds of which have been generated.
Perhaps in a more familiar example, there are many examples of oncogenes in cancer that become tumorigenic as a result of hyperactivity.
We host everything from the rather unusual story of a British Red Cross nurse serving with the Russians on the Eastern Front, to more familiar examples like the testimonies of conscientious objectors.
Power's litany from the last century alone makes highly uncomfortable reading for the world conscience: beyond the tens of millions dead in the Holocaust and those other, more familiar examples, she cites the Hausa slaughter of the Ibo in Nigeria in 1968 (a million dead), West Pakistan's culling of East Pakistan Bengalis in 1971 (up to two million), Tutsi versus Hutu in 1972 (150,000).
Indeed, considering this peculiar case can shed light on the value of more familiar examples of enhancement, which aspire to make us functionally better in more familiar ways, but which also imply a transformation to an aesthetic value of our human condition.
After all, take a more familiar, humdrum example.
Perhaps a more familiar analogous example of this situation would be: a passenger was injured in a car accident that was caused by the driver of the car (MCC vs. APC in the human tumors); however, if the passenger had been sitting in a different car, he/she would, most likely, have been injury-free (MCC vs. APC in the mouse tumors).
