Preamble:
I love playing civ5 by getting the most out of my UAs/UUs. However, that being said I do like variety so I aim for different victory styles using similar mini-strategies if you will. By far my two favorite are Honor-Aztecs with the +Faith-On-Kill pantheon (tons of stuff on kill :D) and Egypt with the obvious wonder building perks. Strategies like this, where my Civilization's UA/UU syncs amazingly well with other aspects of the game (Social Policies, Wonder Bonuses, Promotions, etc.) make the game a lot of fun for me.
Problem:
I've won (or played until bored) numerous times as my Honor-Aztec strategy with Domination Victory. I was wondering if there was any strategies to allow me to adapt this strategy to get ahead for another victory condition such as Tourism/Culture (BNW) or Diplomatic Victories (Neither of which I've successfully completed before). I'm not looking to keep my strategy 100%; however, there is a reason I use the strategy (i.e. I enjoy it).
Question:
How can I alter my strategy to allow it to work for a Tourism/Culture or Diplomatic Victory (in BNW) such that I still find the game fun (see Preamble for constraints)?
For example, how can I use my Culture/Faith/Gold gains to get myself closer to a Tourism or Diplomatic Victory? I'm not looking for some overly complex strategy, but I am searching for an answer that's a bit more thought out than: "You can use the gold gains from the honor policy to buy off city-states and the culture to protect you from being defeated by a tourism victory."
Best Answer
Civilization offers many paths to each type of victory. You love war, warfare, combat, and, in general, being a thoroughly disagreeable fellow: there's no reason you can't use this to make friends.
Diplomatic Victory
One way to the love of city-states is through war on the city-states. The way is convoluted, but making peace through war generally is.
Here's how to get one city-state to love you:
You can repeat this, and collect allies. If you attack the city-states individually, then at some point, most of the city-states will unite and declare permanent war against you. I'm not sure if a liberated city-state that was once at permanent war will forgive you or not, but I think they would. Of course, this convoluted scheme can be made simple if another civilization has already captured a city-state: just go to war, recapture the city-state, and liberate it.
Note: this technique is unreliable. Some opponents will just liberate a city-state when you give it to them, either because they can't afford the inconvenience of owning another city or they really like the benefits of having a city-state ally.
Tourism Victory
The only way to a cultural victory in Brave New World is through Tourism, and the only source of Tourism is Great Works: I don't dispute this. However, your incredible culture income (via your Honor-Aztecs) will make it easy to pick up the Aesthetics social policy tree, and that tree is a huge source of Tourism. Simply starting Aesthetics will give you Great Artists/Musicians/Writers faster, and finishing it will let you purchase Great Artists/Musicians/Writers with Faith in the Industrial Age, which your Honor-Aztecs are earning by the boatload.
Even without your gold, culture, and faith bonuses, you can win a Tourism Victory through simple war. Great Works can be captured from opposing civilizations when you capture their cities, reducing your opponent's future Culture and giving you Tourism. And if you eliminate a civilization entirely, then you don't need to beat their Culture at all; you only need to apply your Tourism to existing civilizations to win. So when Napoleon is the only remaining opponent that you aren't culturally-dominant over, just kill him and you'll take your cultural victory.