The name is rather ambiguous now, traditionally it was the FL* series introduced in '65 with electric starters. Prior to that they were Duo-Glides and further back Hydra-Glides (Glides because of the shocks in front first and then rear). There were at least models still referred to as EGs at least through the '70s though then they started with the other variants. Not sure they use it now for any one particular configuration, someone else may.
According to HOG magazine the Road Kings of today drew their inspiration directly from the 65.
I have A.D.H.D.
(A Damn Harley-Davidson)