Interesting that the RTW came up as an option. We did a OneWorld Circle Pacific last year in J--and unfortunately (or fortunately, I guess), I'm completely spoiled now. I've flown AA business from LHR (or maybe LGW) to STL, and as I recall, it was a good experience. As for the other airlines...I've heard that for the most part, the F and J experience is better on non-US based airlines. But my limited experience with AA was fairly good...of course, I find AA's LAX-JFK in J to be generally pretty good. So I'd say that probably, we'll end up on AA unless there's an option with significantly better service.
I know that Air Tahiti Nui is an AA partner, but I don't know the rules for mileage accrual. And I did consider a RTW ticket, but my dates aren't flexible, and I don't have a whole lot of time (probably 8-9 days). So it looks like the RTW is more expensive than a round trip, and it would cut into our time in Paris. Someday, though, I definitely want to do a RTW.
Thanks again to all who are helping.