I first picked up the guitar because of Slash. I then played some hard blues, a la Gary MOORE. Then I got into Paul Gilbert, then to all Shrapnel's artists (and relativity ones), then into extreme and unknown artists (Allan HOLDSWORTH, Shawn LANE to name the most famous ones).
My approach has been for years "if someone masters it, there's no reason I can't"... So:
I went through my "twang" period, listening to the hellecasters, Dany GATTON, and Chet ATKINS, and learning multiple string bends and B bender imitation.
I went through my neo classical period, learning Paganini's caprice, and Yngwie's tunes,
I went through my jazz period, playing chord melodies just like Joe PASS,
And now, I can pretty much do an impression of any guitarist that has sold more than 10000 records... Not very useful, but people pay me for doing it :D