culture vulture
culture vulture {n.}, {slang}, {informal}
A person who is an avid cultural sightseer, one who seeks out cultural opportunities ostentatiously, such as going to the opera or seeing every museum in a town visited, and brags about it.
Aunt Mathilda is a regular culture vulture; she spends every summer in a different European capital going to museums and operas.
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Source: A Dictionary of American Idioms