What are the best/most recognized programs in the UK for international business?

I'm an American lawyer that has been practicing corporate transactional law for a top regional firm for 3 years. Though I've had some exposure to international/cross-boarder transactions, I'm looking for more.

I have a BA and a JD and graduated at the top of my class. With my education and work credentials, I'm also trying to determine which universities I may get accepted to. It is hard to determine from internet research what UK universities are looking for and what types of students they admit.

Any help from those that have gone through this process is very much appreciated. Thanks.