HBR is a neat way of entering the classical era too.
Nice for HA rushes, good for construction later if elephants are around, and a very good tradebait in it's own right. Requires more beakers into alpha though.
I look for an excuse to go this route most games because I really enjoy warfare.
I very seldom tech IW/Alpha/Math as it's usually techs that you can trade for.
Aestethics is very common in my games as it's one of the most reliable trading chips there is. About 50% of games I go there.
I do like CoL, but for some reason I seldom go there.