Alex Simoes also suggested looking at the data by continent, breaking Europe into EU member and non-member states. The flow below shows the macro trade flows in and out of the UK:

Based on trade data from atlas.media.mit.edu

Looking at the country data, one surprise for me was the relative scale of trade between the UK and the Netherlands. At the continental level it was interesting to see that there was relatively little trade between the UK and South America (in green above).

Have a look for yourself and and explore the interactive version here. See what interesting patterns you discover.