game bird
noun
- any bird hunted chiefly for sport, as a quail or pheasant, especially such a bird that is protected by game laws.
noun
- a bird of any species hunted as game

Is the pheasant the best gamebird? – The Field
Vintage British Game Bird Chart Limited Edition Art Print | Etsy
British Game Bird Greeting Card – Home Farm Fowls
Game Birds | Meyer Hatchery
A Guide to Game Birds | Purdey & Sons
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