I played 2 games on quick speed, pangea as England over the weekend, both cultural wins, one on emperor at turn 201, and a second on immortal at turn 170.
I ignored great artist/writer/musicians and went full archaeologist (England get more with their UA). I basically tech up like normal, going commercial/Industrial/campus districts to start my cities except I open my coastal cities with with Royal navy dock (no district count as it's a UD). About mid way through the game, maybe around 1300AD, I start sending out settlers to settle cities near various coast with smooth lands (for future sea side resorts) and also luxury resources. I would never grow these cities past 2 pop so they wouldn't drain amenities, I would build Royal navy dock (no scaling cost, because again it's a UD) and then I would usually chop a theater district.
Running a merchant republic and getting purchase discount legacy bonus I would simply buy buildings like amphitheater, archaeologist museum, builders and archaeologist in my pop 2 cities. Most of these cities were settled on the other side of the pangea so it's a different continent, therefore often get a free musketman for barb protection while you move your builder around chopping and improving luxury.
I was able to build so many archaeologist that I mined the map out of shipwrecks and dig sites. in fact I even bought an art museum in my last few colonies rather than archaeologist museum to use some of the artist I was getting (you get them regardless if you build theater districts). Key wonders are Eiffel Tower and Cristo Redentor, so prioritize Steel in science and Media in civics.
Had a lot of fun with this strategy, felt like England sailing around the map and making my pop 2 "colonies" can't wait for a terra map to be released.
will be trying it on Deity when I get a free night this week.