Luckily we've found this: "Super simple (static) web service to grab VAT rates for all EU Member States, in preparation of the new 2015 VAT regulation." See: https://github.com/modmore/euvatrates.com

We've used this (for http://www.voyando.com) to change our software (ie. replaced a static VAT-variable for EU countries to a dynamic one based on what customers filled in during sign up). It was no more than 4 hours of work :-).

The (extra) tax filings are no more than a list with the different countries & VAT amounts. My bookkeeper/accountant will handle the rest ;-).