to flatter; to curry favor (with); to fawn (on)
to flirt (with; a man); to make eyes (at)
同僚は昇進のために上司に媚びた。
My colleague flattered the boss for a promotion.
政治家は支援者に媚びて、献金を集めた。
The politician curried favor with supporters and collected donations.
彼は権力には媚びない。
He doesn't flatter those in power.