Green’s Dictionary of Slang

1. (US black) a marble.

1943

D. Burley N.Y. Amsterdam News 9 Oct. 20: I was putting down some lemon pool action with the smooth roundies.

2. (N.Z.) a factory-made cigarette.

1948		L. Cleveland (1968) postcard in DNZE (1998) 683/1: Used in the NZ Navy.
1982		G. Newbold Big Huey 253: roundie (n) Factory-made cigarette.
1984		postcard in DNZE (1998) 683/1: (Marlborough): Roundie: prison slang for a tailor-made cigarette; also round.
1991		B. Stewart Broken Arse II vi: Henry pulls out his boob weed.) piggyscrew: Not those. Have a roundy. (He offers him a tailor-made) [...] Look here’s a small tin of coffee and a packet of roundies.
2001		D. Looser Boobslang [U. Canterbury D.Phil. thesis] 156/2: roundie (also roundy) n. a factory-made cigarette.