Generally speaking, I agree it's either strat or les paul with telecaster not far behind. I'd vote for the strat. To me, it's basically
the electric guitar.
As for specific iconic guitars, I don't really know. A lot of the music which makes a great impression on me might not make such an impression on the majority of others. But I know that I badly want a Gibson SG "Roxy", like what Frank Zappa had customized and played in the 70s.
Iconic to me at least
Gibson were making these signature models or what you'd call it, but I don't think they're producing them at the moment.