Achievements
Wine: I settled cities near all wine luxuries, except the one at the south of the mountains. I got Belgrade in a peace deal with Venice. I annexed it, bought a few tiles until the next border growth would be on the wine.
Women: I started my push on Moson Kahni and then Venice. These were the only two capitals I annexed. I puppeted all other capitals. I didn't bother to conquer and then raze all the women's other cities.
Song: I sent a musician to the nearby city I had left Carthage with.
The Roleplay: This really was the trickiest achievement to get. Not going full Tradition meant delayed Aqueducts and not going full Liberty meant no free GE to rush NC or Oracle (when you have to build both).
Mistakes
1. Not enough culture: The Roleplay achievement requires even more culture than a normal game due to added policies (detour). However, as is the case in most of my Domination games I neglected culture a bit. I don't think I was friend even once with a cultural CS all game. I also decided to farm some workers from Bucharest which is a cultural CS.
2. Dealing with Dido: Unlike some others here, I didn't block Dido from reaching the rest of the continent by settling SW or SE of the mountains. I also didn't farm any workers from here. Dido also went Honor this game which meant early Great General and the ability to climb over mountains (UA). She did a nasty 4-city push in the early 100s against Athens. Since she had no limitrophe neighbors, I couldn't bribe any other civilizations to go against her. I had to build many CBs and a wall to hold. The terrain near Athens was still really favorable despite her UA. Carthage was the only capital I took pre-Artillery.
3. Religion: By settling near the two faith Natural Wonders, I thought I would get the religious edge this game. I was in error. The Celt built many if not all the faith wonders and was spamming missionaries and prophets like crazy. I should have bribed Germany (which was my buddy) to DoW the Celts earlier to stop their religion spreading. I also decided to try the Just War enhancer for this game, but it's really not helpful for an artillery push. The +20% only applies to their low base damage (and not +200% bonus against cities). For an XB rush, maybe it could have been a more appropriate strategy.
4. End game: I hit Dynamite T178 which is a bit late. I should have only built units from then on, but got distracted by building too many buildings (banks, military academies, factories, etc.) Germany just had discovered Flight before I ended the game.