Option 1:Queen Greatest Hits (1) 1981
Option 2: Sheer Heart Attack 1974 ,versatile, really varied musically (pop, hard, heavy..), good arrangements, good melodies, a great album
Very good suggestion. SHA is grand, ANATO is perfect for starting -- but compilations like GH1 and whatnot are good for more basic introduction to the all-around nature of Queen. :)