These days trying to get AA business class flights with miles to Europe can be a chore. More often than not from Phoniex, one ends up paying for the surcharges BA flight to LHR. We did that for this coming year -- PHX/LHR/FCO with the return from Dublin via LHR to Phoenix.
The only way you can fly AA metal is with the high mileage option.
Heck, I did a test look up the other day for a one way KOA/PHX -- AA has a direct flight. But via a miles look up what was offered was KOA/SEA/Phx on Alaska.