Many commentators have suggested that speed driving on the Autobahn is not as fun as it sounds and I should consider going for a racing track instead. Where in the EU (preferably Central Europe) can I do so?
Since regular rental companies are unlikely to agree to let their cars go on a racing track, only locations with an attached rental facility will be acceptable.
There are a reasonable number of car hire places which specialise in this kind of thing: essentially they rent you a car with track day insurance, and access to a track. Much like the "bring your own car" track days, but they provide the car too.
Prices vary from around €200 to €8,000+ depending on the car you wish to hire and circuit
Donington Park is about the cheapest circuit I know of. Circuits that host/have historically hosted Formula 1 events (Spa/Monza/Silverstone etc) tend to be more expensive, along with the Nurburgring and Le Mans.
The Nurburgring is fairly cheap itself, but car hire there tends to be quite expensive.
Just off the top of my head check out Nürburgring, which lets you drive your own, rent a car, train, etc...
So have fun.
P.S. From what I also been told owners may be able to test drive on Ferrari test track but this is hearsay.
In the UK, track day organisers include MSV who will rent you an Ariel Atom, among other cars.
They run track days at the following circuits:
A little circuit in France (near Germany): anneau du rhin (Rheinring)
Prices are in between 150 and 1000 euro. Depence on the vehicle and duration.
