Joy Ride

You could see Europe as the US, but with countries instead of states. Every country has it's own culture and attractions. So, why stay in one country if you could explore Europe by car?

Starting from Hotels in London for instance, and then crossing the Channel to the main land. Make sure to have a valid driving-license and keep in mind that the minimum age for driving in most EU countries is 18.
Your insurer can give you a European accident statement form, that makes it easier to make a declaration on the spot if you have an accident in another country.

Check in to one of the Hotels in Paris and take your time to visit this beautiful city. Remember that in France, as well as in Belgium, the Netherlands and Portugal, you normally have to give way to traffic coming from your right!

You could travel to some Hotels in Berlin and when you do, keep your eyes on the signs for the exact speed-limit. Maybe you come across a piece of the Berlin-wall. How would that make for a souvenir?!
Should you drive over to Austria, then you must possess and display a toll label or vignette on your vehicle. These can be bought at all major border crossings into Austria and at larger petrol stations. Some other countries have a similar system. Don't forget to check into it.

You can make your round through Europe and end up in Hotels in Barcelona before coming back to the States.

One more tip: make sure you have a good working camera and loads of batteries! :-)