I need to hear your guys' games in this, I feel like I'm not going fast enough.

My usual Games: Japan:
In my city to the farthest east, I begin building the oracle, fill the Galleon up, and send it to the other side of Japan, to my farthest west city. War on Korea, unload my Samurai, re-load boat with samurai. Oracle gets completed by me, get Liberalism, from that I get Nationalism. I Conquer Korea, declare war on China. Drop samurai on China's Nothern Most Coastal. Usualy only 1 archer there. that's about where my Regularity ends. I need to know: CAN I go faster?

Quick gamespeed is faster, but I dont think thats what your asking.

Things happen "faster" in game time at slower game speeds, but that'll take you longer in real time typically :).

This isn't nearly specific enough for anyone to say if you can go faster. Lib @ 1000AD and successful war sounds good to me though.

successful war sounds good to me though.
which is surprising seeing that Real Japan hasn't had one in a good long time.. But basicly, I usualy Take out Korean Civ, then land Samurai in china, try and capture what citys are some-what undefended.