Hello, here are a few websites that can help:
The European Affairs Jobsite: http://www.eurobrussels.com
And the Eur. Commission also has some offers online:
http://ec.europa.eu/staffdir/plsql/gsys_www.branch?pLang=EN&pId=671&pDisplayAll=0
You can also contact the thousands of representation offices in Brussels. They are all over the place.
And while you're looking for such a job, you can work as a language teacher, giving English private and group lessons, certainly if you are a native English speaker, as I have done with this great language school http://www.EnglishAcademy.be
This is also a good site: http://jobs.euractiv.com if you are skilled and experienced.
And you should participate in the 'concours', official exams for top jobs: http://www.jobs-brussels.com/eu_institutions_jobs.html

There you are, this should keep you busy! Happy job hunting![/url]