[noemon]

Any non-American company is fine and good enough.

Middle range you got British Airways, Airfrance, Lufthansa, and Turkish Airlines and then high-ranges you got Qatar, Emirates. US airlines are at the very bottom and not always the cheapest either.

[Alfisti]

You futsing about to save $50 a flight, come on man just book it. And use Kayak not google flights. Looking at your list to rome i'd do Delta just to avoid the riffraff on American.