This is going to be a long wall of text. Victory at T313. On Immortal.
I wanted to try out the warmonger path to culture victory utilizing Honor's opener with the Aztecs. After many failures due to experimenting around with SP path and production order, I finally adapted to Aztec's playstyle. And what a ridiculous fun game it was. I find its UA the most useful during early game around T30-100 and late game T200-300 at least for me. Jaguar is very fun to use. In vanilla I always thought it was a lackluster UU, the woodsman promotion +33% forest/jungle bonus is a great addition.
I realized I don't really want to maximize my turn down to T300 for a victory. Just wanted to experiment if this would actually work. There was some super luck in this game I have to say. Excellent start, fairly isolated, and great AI turn out.
The 6 other AI beside Polynesia was constantly fighting with each other. This really only meant I was competing with Polynesia for Wonders. I build a BUTTLOAD of Wonders, I'll just mention some of the unusual Wonders I managed to pull off: Chichen Itza, Alhambra, AND Petra. Holy smokes, I almost laughed in glee with this turn of event. Also for the first time I manage to outtech everybody by having 3 RAs very early while nobody even had Education yet.
Social policies: I fiddled with the Aztecs before to get a taste of what it's like, before finally having the luck of NOT having a Jungle bias start.The 5 trees were: Tradition, Honor, Patronage, Rationalism, and Freedom.
Yes, I completely ignored Piety in this game and wanted to see how late it delayed my victory, in addition to a late warmonger rush.

I started to DOW starting from Polynesia at my south around T230 after I got Plastics. It was almost a joke comparing Modern infantry with muskets. Didn't lose a single unit.
Current diplomatic situation: Was Friends with Ottomans and Japan, who was waging war with each other. Japan quickly denounced me as I declared war on Polynesia. So did America. Japan conquered Russia, while America conquered Sweden. I ended up conquering Polynesia entirely. Ottomans remained a faithful friend, most because he declared war on Polynesia shortly after I did.
Then I went on a long ocean trip after I got battleships and great war bombers and sailed for Japan.
Worked my way up with battleships and conquered his Capital in the second most northern city. What I didn't expect was he actually wanted to give me EVERYTHING for peace. At that point I already have conquered at least 7-8 cities. So then I got another 5 cities while his new capital is now at the bottom south, far away from America. By that point I kind of already won the game, but I DOWed on America anyways, see if I could save a turn or so using the UA.
What an amazing UA it was. In the fight with Japan, I probably got at least 1000 culture. I was getting like 150CPT since the guy was just throwing great war infantries and that 60 ranged land unit against me. And before the fight he had the strongest army too. Quantity can't beat quality, obviously.
So the end result was this:
Ridiculous science, I was actually like 96% done the science tree. Was working on Advanced Ball or something. Also allied just about everybody before I DOWed on America. America quickly wanted peace and gave me a crapload of gold lol. The amazing thing was I still had 2 happiness after I did so much warmongering. Also as you can see growth was even crazier this time with Aztecs. 38 in my capital, I've never pulled this off before, awesome awesome game. It's been a crazy ride.
I also happened to squeeze a religion in, although I screwed up in my second follower choice: Picked Holy Warriors, rofl. The only use I had was pumping out scouts for Military Caste while my other units went to war some 50 turns after. I think I should've picked a happiness modifer. I realized the Pagoda was not as good especially if I lack decent faith, and since I didn't even have the Piety tree I didn't bother with it and just got Cathedrals in my 4 core cities before moving to GAs.
I think religion is quite crucial for me. Cathedral is like +6 culture to a city. That's huge. I didn't really care to spread it as long as I got that in my city. I think it's fine to compromise growth to squeeze that shrine in, and if you have deserts, I would always rush for it to get desert folklore. I had to squeeze one in this game because I had like 5-6 silvers around my starting area.