This is the second GOTM I played and I think I did well although I made some important mistakes.
I entered the MA in 230AD with half of Carthage conquered, all Persia but a single city and having broken through Egypt defenses. I recently built FP in a Persian city just N of Persepolis, maximizing the number of cities that would profit from it. It was a good choice, but not the best considering that the terrain was not worked very much in that region.
Around 300AD I captured Thebes & The Great Lighthouse. I though that was the key to get to the other continent, but it proves that I could not get to the other continent without making suicide galley which I decided not to try as I did not want an invasion force safely in the same manner and at regent level I would probably not be able to trade any tech.
Then I made a big mistake. I do not play on regent level anymore except in GOTM, so I was not used to that situation (master of my continent before the end of MA) and I research toward magnetism instead of navigation. :shakehead I conquered the rest of the continent slowly, concentrating on research instead of building military. The other civ on my continent were very weak so I did not need reinforcement. Around 600AD, I was alone on my continent.
I finally got magnetism, upgraded my galleys to galleons and found the other continent very fast. There I made another mistake. Somehow, I expected the other continent to be closer W than E and my invasion force was on the wrong side.

But I was going to get MT soon anyway and cav move fast so I did not loose many turns because of it.
A few turns before 1000AD, I landed on the southern tip of Arabia. Cav vs Pikemen & spearmen meant fast conquest and I had domination victory in 1200AD after conquering Arabia & all but one Indian city.
A Jason score of 9368, which I consider very good for a second GOTM.

Still, I think I could have won before 1000AD if I researched navigation instead of magetism. A lack of experience I guess.
@rrau: I am surprise you did not do any better as you looked like a very good player in our Mon&Emp SG.
@crakie:
a) My first war was just after I hooked up iron. I had researched writing at a slow pace to get enough money to upgrade about 12 vet warriors to swordmen. They were surprisingly very efficient against Numidian Spearman. I do not usually stack that much warriors, but it took a long time before I could trade for iron working as I was researching toward republic.
b) I had around 8 cities at that point.
c) Carthage was the target to get the horses that they got just a few turns before me (even if they were so close to it!). Don't ask me why they did not consider the cows near the horses as the best spot to settle!
d) The best unit I faced on my continent was Numidian Spearmen. Other civ got spearmen only. I faced pikemen & spearmen on the other continent.
e) I almost never use catapults. You have to build a large enough force so you do not care if you loose a few. I am used to play C3C at emperor level. The AI sometimes has more than 10 units to defend its capital. Imagine the number of catapults you would need to wound every defending units! I also prefer having fast units and do not like to wait for catapults to get to the front.
In MY experience, knights are good vs pikemen. You will loose a few from time to time, some will retreat. As long as your invasion force count about 2 knights for each pikemen defending a city & they all attack at the same time, your invasion should succeed. You may need more to attack a city on a hill. Of course, gettting the cities on hills as a payment for peace is better but not always possible. I hope that helps.
BTW, my skills improved a lot after I read a few articles in the war academy a few months ago.