The trick for faster games is to disable unit animations.
Just played my best game yesterday. Noble difficulty, with Bismarck. Was close to both stone and marble, and with industrious, it meant that I got most wonders. Also got both Hindu and Judaism religions. Started building up to rush the Netherlands, when Stalin contacted me to surrender (vassalize)! With my back secured (he had the second strongest army) I conquered the Netherlands easily, with Hatsheput joining in halfway. Once the conquest was over, the very next turn she contacted me to surrender as well! Having the same religion really helps.
Got rid of the last civilization on the continent (Boudica) and had to wait for galleons to end the game (by vassalizing Carthage). 1695, a bit over 5000 score, for a finalized score of 96881 or so. Barely missed the 100 000 mark again.
Next time!