Green’s Dictionary of Slang

1. the vagina, esp. during the act of cunnilingus when it is ‘eaten’.

1963–74		B. Humphries Barry McKenzie [comic strip] in Complete Barry McKenzie (1988) 94: If youse get jak of stropping the Mulligan and feel like [...] tucking into a nice fresh fur-burger, tell the tart you love her.
1972		B. Rodgers Queens’ Vernacular 139: The vagina when erotically licked. [...] furburger.
1985		B. Humphries Traveller’s Tool 131: Once a little sheilah from the typing pool of the Russian Consulate in West Berlin offered me a nibble of her furburger.
1998		(con. 1960s) G. Washington Blood Brothers 56: Boy was she grateful that night, and we had our dinner in bed (fur-burgers).
1999		G. Seal Lingo 126: Cunnilingus of various kinds may be referred to as a sixty-niner; a furburger; to go down, and muff-diving.
2003		McGill Reed Dict. of N.Z. Sl. 83: furburger and Y-bone Sexual meal, playing on the notion of a T-bone steak.
2008		S. Packham Opposite Bastard 223: [T]hat frigid little todger-dodger [...] typical edge-of the bed virgin [...] Any bloody excuse to keep your wankshaft out of her furburger’.

2. a hairpiece, a wig.

1984

P. Slabolepszy ‘Over the Hill’ in Mooi Street (1994) 66: Ou Moerdyk’s getting himself a hairpiece next week. As long as he doesn’t play in the damn thing. Oke gives him a high-tackle – he’s left with a fur-burger in his hand.