Anemone /əˈnɛməniː/ is a genus of about 120 species of flowering plants in the family Ranunculaceae, native to temperate zones.n illustration of an Anemone. Anemone are perennials that have basal leaves with long leaf-stems that can be upright or prostrate. Leaves are simple or compound with lobed, parted, or undivided leaf blades. The leaf margins are toothed or entire.