Don't look at that as an insult, Exodust. That's every character actor's dream, really. Once people start to know you by name alone, and the kinds of roles you play, that is sort of the last call for a character actor's career. You stop getting hired. There's an old story, and I forget the actor's name who told it (haha), but it goes something like this:
You start getting known, and every casting director out there says "Get me Paul Giamatti." Then you're all over the place, everyone knows who you are, you're being paid more, and casting directors start saying "Get me someone like Paul Giamatti." Then a few years after that, every once in a while a casting director might say "Get me someone like that guy...what was his name, again? Paul somebody?"