We have done 3 Transatlantic crossings from Miami & Fort Lauderdale to Southampton in 2009 2010 & 2011, First 2 on RCI IOTS Balcony Cabin £850 each & this year it was on the Celebrity Eclipse at aprox same price. But of course we had to pay our flights out to the states. That is in April & they leave Southampton to go back to the USA late October early Nov. If you are happy to have a inside cabin it will be around the £550. The reason being you are only paying for 1 way.