I wanted a quick game this month since
Jesusin did not take me up on my offer to go for an Espionage victory. I decided to try for a Religious victory instead. The initial plan was to run an engineer specialists (cities start with a free forge), pop a 100% GE around T45 and rush build the AP.
I rarely play advanced starts so I ran a few test games to see what the AI would do and AIs started popping their first Great People ~T18. They were running Caste System and a bunch of specialists. What scared me the most was that quite often a GE would spawn very early and the first thing said GE would build was the AP. So I set my sights on completing the AP manually before T18. I did NOT want to have to capture the AP (possibly on another continent) for the win.
So I chopped a second worker and then both workers chopped non-stop until I had the AP on T16 (movie played on T17)... and what do you know but a GE was born on T18.

It's a good thing I ran my test. In fact, the first 4 or 5 great people that popped were GEs and they all rushed wonders such that almost all wonders were gone very early.
My second city was settled on a FP to SW and started on a caravel right away... actually 3 caravels. My capital pumped out Islamic missionaries.
I revolted out of Islam after the AP was built so as not to piss anyone off.
I got a scare on T2 when my explorer saw 2 longbows, 2 berserkers and a worker in the barb city to the east. I saw several warriors wandering around but I never saw the berserkers again even though I went looking for them with my LB around T50 so I assume that the barbs deleted the units???
I also found Washington to the west with my scouting LB on T16. He was far enough away that I wasn't overly worried about him.
I met
Qin on T22 to the east. I immediately opened borders with him and gifted him my map for +4 trade relations. His favorite civic is Bureaucracy (which we were both running) for which he gives a max of +6 diplo. He also has a base attitude of +1 so he's easier than most AIs to get to Friendly. He gives a max of -3 for running different religions if he owns the holy city, so that wasn't bad. He was looking to be a good voting buddy.
On T23 I meet
Hammy but I had no idea how or from where so one of his caravels must have scooted past mine IBT. His favorite civic is also Bureaucracy so I'm having visions of a three-way pact with Hammy and Qin. I OB immediately and gift him my map.
On T27 I meet
Wang. I'm running Slavery but I can switch to Caste System soonish so I put him on a list of potential allies. I OB and gift him my map.
On T29, Islam finally spreads to my second city (I had built a road connecting my two cities several turns before).
On T30 I meet
Hannibal. His favorite civic is Free Market. I don't intend to research that far so he's on my sh!t list. I OB with him on T32 and spread Islam to him. I'll be willing to close borders if anyone asks.
On T32 I meet
HC. He's Wang's worst enemy. HC is a decent partner with Heredity Rule as his favorite civic so I have to pick between Wang and HC. Wang looks better since he only gives -2 for different religion (-3 if he's the holy city owner) while HC gives -3 (-4). I keep this option open for the moment. On T34, I OB with HC and spread Islam to him.
On T34 I switch to Heredity Rule (I was not running a Government civic initially since it would have cost an additional turn to revolt and I wanted the AP ASAP) to make HC happy and Caste System to make Wang happy. I still haven't chosen between these two yet...
The first AP resident vote is on T35 and I self-vote myself to victory.
Around this time, HC becomes the worst enemy of Hammy as well. So I now chose Wang over HC since both Wang and Hammy, two of my friends, don't like HC.
On T36, I spread Islam to Hammy. He only had 1 city up until this point. His first city must have been razed by the barbs??? In any event, I didn't want to spread Islam to his capital and preferred to spread it to his small, 2-pop city on the turn he settled it.
On T38, I get a GE from running an engineer non-stop in the capital (combined with the GPro points from the AP). I see that he can bulb Gunpowder so I switch from Astronomy to Gunpowder and bulb the GE. I finish off GP on T47. I'm tempted to gift it to Qin, Hammy and Wang to secure +4 fair trade since the map gifts only gave +4 for a short time until it started to decay but I decide to hold off. Instead, I DoW HC and then bribe Hammy and Wang into the war. Interestingly, Qin hasn't met anyone else yet so I can't bribe him into the war too.
EDIT: I forgot to mention that I had closed borders with HC when asked by either Hammy or Wang (can't remember which) several turns before learning Gunpowder. Neither Wang nor Hammy would declare war on HC because they would have "nothing to gain." HC wouldn't talk to me for closing borders so I couldn't tell him that his head would look good on the end of a pole. So I temporarily diverted an Islamic missionary that was intended for Hammy toward HC. I then marched the missionary up to HC's border and declared war on him by moving my SoD (consisting of the single missionary) into his territory. Using a missionary to declare war was definitely a first for me. Once I was at war with HC, both Wang and Hammy were willing to join in for the price of Gunpowder (and they gave me +4 Fair Trade in the deal too!!).
I settle another city to the SE by the wheat, clams and cow and spread Islam to it in order to bolster my vote count.
I pause when I see that Washington, the minor civ, is listed as a non-member on F8 Members tab. Do minor civs have to have Islam in a city for a Religious victory to be possible? I thought not but I build an extra settler/Islamic missionary pair with the intent of settling the city close to Washington, spreading Islam there and letting him capture it. As my settler and missionary are walking toward Washington I decide to test the minor civ/AP thing with an old SGOTM-18 test game. It turns out that minor civs do NOT need to have the AP religion for a Religious victory to be available. So I settle the city by the horses and keep it for the extra votes.
With 0 turns until the next vote, I convert to Islam which pisses off Qin, Hammy and Wang a bit (-2 each). Wang had stopped the war with HC several turns before so I'm at:
+12 Friendly from Hammy - I'll get his vote
+9 Pleased from Wang - I might get his vote
+6 Pleased from Qin - I likely won't get his vote but I can still gift him Gunpowder for +3 Fair Trade (it's only at +1 right now).
I hit end turn before I gift Qin GP.

I call for the Religious Victory vote and vote for myself; the only other option is Abstain... whoever that is?

I then gift GP to Qin. I'm not sure if I'll get credit for this +3 Fair Trade since I give it to him after I already called the vote.
I have 36 votes and I need 39 so I need at least two of the AIs to vote for me. In the end, both Hammy and Wang vote for me while Qin votes for Abstain. I get 40 out of 52 votes and win with 1 vote to spare.
Results: Diplomatic (Religious) Victory in 1625 AD (T68) after
wasting spending 3:28 of play time with a monster score of 3956. I was one step up from the bottom (Dan Quayle) but Sid doesn't know what he's talking about!!
Thanks for the fun game,
KCD, even though I largely ignored the pre-planted barbs and the minor civ.