I'm afraid English can not be called the most important, as most Europeans would object to it.
The idea of the EU is equality within it.
German is the most widely spoken mother tongue (about 88.7 million people as of 2006), followed by English, Italian, and French. However, English is by far the most spoken foreign language at over half (51%) of the EU population, with German and French following. 56% of EU citizens are able to engage in a conversation in a language other than their mother tongue.
The EU has 23 official and working languages: Bulgarian, Czech, Danish, Dutch, English, Estonian, Finnish, French, German, Greek, Hungarian, Italian, Irish, Latvian, Lithuanian, Maltese, Polish, Portuguese, Romanian, Slovak, Slovene, Spanish, and Swedish. Important documents, such as legislation, are translated into EVERY official language.
So, officially there is not a "most important language", as it would contradict the spirit of unity. Despite of the great role of English in the EU and in the world.