I think that Globe Theatre and National Park are musts. With no unhappiness and unhealthiness to worry about, you can grow as much as you want. Keeping the forsts for the National Park means that you chop less in the beginning, which could hurt the early Wonder race, though. It would also mean you can build an Industrial Park for the free Engineer without having to worry about the health effects. Oxford University is similarly a no-brainer.
If you get Pyramids (may be hard without the chopping), then Financial doesn't matter so much, since you're better off building Farms and running specialists under Representation than developing cottages. I think that the best combination would be to use unrestricted leaders and play as Ghandi of the Romans to get the Philosophical and the Forums, and that means that National Epic isn't as much use.
If you're on a coast, then Moai Statues are great, because then you get hammers from all those otherwise mainly useless water tiles. Ironworks gets nerfed by the National Park, but if you have Iron, you still get the 50% bonus from that and if you built Pyramids, you probably have a bunch of settled Great Engineer by that point, so it's still a major boost. Heroic Epic can be duplicated by a Great General, so there's not as much use for it.
So, if I'm on a coast and have Iron, my five would be:
Globe Theatre
National Park
Oxford University
Moai Statues
Ironworks
The last two I'd switch out for National and Heroic Epics if I can't use them as all the rest aren't worth a slot.