Not really enjoying this one after GOTM 39 and 40. Thousands of years trapped on an island with a genocidal maniac is not much fun.
I had unintentionally played two culture games at emperor: one I lost to Alexander in diplomacy (I bought all the city states the turn of the vote but apparently the AI goes after you, so Alex bought them all back!!), the second I played OCC (I had a sweet spot in a corner that seemed easy to protect) and won.
This time I guessed (correctly) that I would not have such a nice OCC spot so I planned for 3 cities and a mixed liberty/tradition start. I settled 2nd city north near horses/wine/river around 40 and third city on the coast in the sheep hills (nice monster production city, that!) at 60. A little slow but stuck on an island with no one to trade with except Rome, as Dido is always broke and dies around turn 80. Everyone is Friendly.
Everything fairly smooth-- stonehenge, found Big Birdism at 90 with tithe, cathedrals, itinerant preachers. Got the Great Library, which I have never done at Emperor. Got Petra, HG.
At turn 123 Rome attacks. I easily take out the ground troops but then like 8 ballistas come over the mountain, and I temporarily lose Adrianople (North on river). I take it back only 5 turns later, but Caesar has gutted the city! Everything gone. Monument, library, granary, free amphitheater, free aquaduct, everything. I guess I did not know the AI destroyed the improvements. I take back Adrianople, and then take his city near the gold, and set up a defensive line along the mountains there and pick him off for 500 years.
He never offers peace, nor will he accept it. I use a few Great generals to set up citadels to secure that line, and also claim the sugar. He accepts my religion and I get a big bright green positive for it, but still no peace (really? in all my other games that has kept even Ghengis Kahn happy with me, living next door!)
He eventually gets gunpowder, so I stop culture teching and go back to military. Of course, no RAs, since there is no one on the island, no one to trade with! In retrospect I should have gone to astronomy earlier. Still destroy everything he sends at me. Still no peace.
Another 500 years he discovers the Navy. Sends a huge fleet up to the SheepHills (my only city on the water!). So I have to again bag everything and start researching navy tech. I defend with cannon on the south shore hills that fire at the ships as the go up the coast

Eventually he figures to send a fleet from the NORTH, so that does a little damage but at that point I have teched up to frigates/privateers and I use the privateers to capture myself his entire fleet. I even get a free ironside, that I have not researched.
So thousands of years later I have like, cannon and crossbowman/gatling guns at LEVEL 7 (I have never seen!): march, range, logistics promotions. Still no peace. I've killed hundreds of his units but he's hardly killed anything of mine.
Now he has bombers, and is able to actually damage my level 7 units. I don't see any alternative except to tech up to flight and antiaircraft, so again leaving culture. My cities spend all time now in science and not culture generation. Game is VERY slow each turn since the constant war requires constant counterattacks, healing, swapping tired units out, this is what is not so much fun (I mean, yes, a war for 50 turns but it's been over 250 turns now of constant war...) Not sure I am going to finish--- experience says I might only have another 60 turns until someone goes for diplo or space victory, and I am way behind what I was even with the Alexander game; I need at least 8 more policies and I'm spending time generating science and building war units, not culture...
Lesson learned? I guess that Caesar is not like Monty or Ghengis and can't be tamed with a religion or beating him up, I should have just switched to straight dominate mode until he's dead (or maybe one city? Seems like some people have him tamed at one city)