Brooklyn Bridge, Golden Gate Bridge—I voted Golden Gate, which I think is more wonderful aesthetically, but maybe the Brooklyn Bridge would be a better choice. It's fifty years older, so you could plausibly stick it into the tech tree at Electricity or thereabouts, and you'd get more use out of it. What would it do, anyway?
Dome of the Rock—too controversial, probably.
Empire State Building (also Chrysler Building, Petronas Towers, Burj Khalifa)—at least one of these ought to be in the game, but which? And where does it go in the tech tree? What does it do? Tourism? Growth? Same question for Shwedagon Pagoda, which I think definitely deserves to be in. What does it do? Culture and faith? We've got a lot of that already…
Some of these would be great in Civ VI but are already represented in Civ V or are very similar to something we've already got: the Flavian Amphitheater (the regular Colosseum building), Florence Cathedral (Notre Dame), Gobekli Tepe (Stonehenge/Hanging Gardens), Ishtar Gate (it's actually already in Civ V, as "The Walls of Babylon"), Large Hadron Collider (Hubble Telescope), Pantheon (Stonehenge/Hagia Sophia). I think Gobekli Tepe and the LHC are especially cool ideas, though, and if you can think of ways to make them different from existing Wonders, I'm all for it (honestly, considering its age, I think Gobekli Tepe would make a better "natural wonder" than El Dorado or the Fountain of Youth).
Hoover Dam, Three Gorges Dam—I've never liked these as wonders. They're just dams; they're already represented in-game by Hydro Plants. Plus they were both environmental disasters, and the Three Gorges Dam was a human rights and cultural disaster too. Not cool to glorify them as Wonders of the World, in my opinion.
I think it's a stretch to call Mt. Rushmore and the Sphinx "Wonders"; aren't they more like Great Works that are too big for a museum?
Versailles and St. Peter's are two buildings I just personally hate; I don't like the idea of them as Wonders because I think they represent the worst in humanity, rather than the best.
Panama Canal—not sure how it'd be implemented, but it's a great idea. How about the Chunnel too? The Canal allows naval units to pass through land; the Chunnel allows land units to cross one or two water tiles without embarking. Only tricky thing is that neither of them was actually built in a city. That's also a problem with the Silk Road—isn't it just a bunch of trade routes? I don't see how it's something you would build in one city.