From Longman Dictionary of Contemporary Englishstagystag‧y, stagey /ˈsteɪdʒi/ adjective NORMALbehaviour that is stagy is not natural and is like the way an actor behaves on a stage a very stagy manner —stagily adverb
Examples from the Corpus
stagy• Instead, the cast simply walked about, making the walking dramatic without being stagy.• He found it absurdly stagy, and was partly embarrassed, partly amused.• I thought the program "I, Claudius" was a stagy bore.• He has a second reason, spelled out in one of several stagy subplots.• One of the men spotted her and emitted a stagy wolf-whistle. 