I have been seeing some shockingly low fares departing the US, on orbitz lately.
Just plugged in SEA-DUB for 26/9 returning 3/10, and it gave:
Leave
Wed, Sep 26 American Airlines 2088
Depart: 8:50am
Arrive: 2:40pm Seattle, WA (SEA)
Chicago, IL (ORD)
First Class 3hr 50min Boeing Douglas MD-83
Change Airline. Time between flights: 2hr 5min
Iberia 6274
Depart: 4:45pm
Arrive: 7:45am Chicago, IL (ORD)
Madrid, Spain (MAD)
Business 8hr 0min Airbus A346
Change planes. Time between flights: 8hr 30min
Iberia 3184
Depart: 4:15pm
Arrive: 5:40pm Madrid, Spain (MAD)
Dublin, Ireland (DUB)
Business 2hr 25min Airbus A320
Return
Wed, Oct 3 Iberia 3183
Depart: 6:35pm
Arrive: 10:00pm Dublin, Ireland (DUB)
Madrid, Spain (MAD)
Business 2hr 25min Airbus A320
Change planes. Time between flights: 14hr 5min
Iberia 6275
Depart: 12:05pm
Arrive: 2:20pm Madrid, Spain (MAD)
Chicago, IL (ORD)
Business 9hr 15min Airbus A340
Change Airline. Time between flights: 2hr 35min
American Airlines 333
Depart: 4:55pm
Arrive: 7:25pm Chicago, IL (ORD)
Seattle, WA (SEA)
First Class 4hr 30min Boeing Douglas MD-83
Total duration: 32hr 50min
Airfare $2,521.00
Taxes and Fees $267.84
Total trip cost $2,788.84 USD
Fare Basis: IRTUS
If this is correct, it's a bargain. The BA fare is $5,400.