In spite of Willie Walsh's comments I'm not so sure the acquisition of bmi will result in a large expansion into Asia. The extra slots will help but if there was money to be made in destinations not already served BA would have found the slots from its current portfolio. The competitive issues of not being in the right place in Europe to pick up connecting traffic from mainland Europe for Asian routes, lack of onward connections onto local partners will remain.
I expect we will see yet more routes to North America (San Diego seems to have been very successful) when the 787s arrive and more routes to South America as much as new routes to Asia.