Hey , I'm an old school player so ...
PS -I was started with
Tomp Rider
Final Fantasy series
Metal Gear Solid
FIFA/PES and others

PC
RPG : Baldur's Gate/ Icewind Dale series, Oblivion, Diablo, Fall Out series
Strategy : Comand & Conquer, Age of the Empires, Civilization, Total War series
Action : Medal of Honor, Hunting Unlimited and others