This is the GotM discussion, right? So let us discuss!
I suggest beelining for Conquistadors (first) and Caravels (focus on Libraries and Scientists!), at the same time amassing Catapults, Axemen, and Galleys. The best way would be to destroy England as soon as possible, then France (easier to crush compared to the English, in my experience).
This should be pretty obvious if you're aiming for the 3rd UHV with little difficulty. not to mention the big cities you take will add to your score.
Important note: slavery is both your friend and foe -- I suggest not using it after the conquests to the North and West, otherwise your score would go downhill.
Finally, the Conquerors event is also your friend; it can easily defeat the Aztecs and the Incas alone, if used properly.
Blah, blah, blah, discuss further.