to me, "classy," "high class," means the most elegant of forms following the most pragmatic function. Top tubes, deep Vs, colored chains, no brake(s), racing saddle, all these things are addons or subtractions that compromise functionality for aesthetic value, i.e.
not classy.
that being said, i think Mike from A.N.T. makes the classiest bikes. Loooooook......
http://www.flickr.com/photos/antbike...7605299550188/