Venison pasties have a long and venerable history, having been mentioned by Shakespeare in The Merry Wives of Windsor and Samuel Pepys in his diaries. Because availability of deer was restricted to the 'upper classes', venison was not something ordinary folk could (legally) get hold of. These days venison is sometimes available at supermarkets as well as butchers who deal in game. My version of venison pastie precooks the meat in a tasty red wine sauce.
1 egg and a splash of milk for glazing. Maybe some flour for thickening and salt & pepper for seasoning.