Collocations for familiarity - noun

greater, intimate
basic, passing (esp. AmE)

have
I had only a basic familiarity with computers.

acquire, gain
Over the years, he gained greater familiarity with the culture and way of life in the country.

assume
The article assumes a basic familiarity with the main issues.

require
60–70% of jobs now require some familiarity with IT.

familiarity with
her detailed familiarity with her subject

a lack of familiarity

comfortable (esp. AmE), easy
He treated her with the easy familiarity of an equal.