Car

Classic French road
Take your car
The most flexible way of travelling Europe in my opinion is by car. The pros are that:
There are a few Cons:
There are two main options available if you wish to use a car in Europe. The first is to take your own and the second to hire one.
To actually see the countries as you drive through them you need to take the smaller roads but if you need to get to your destination quickly then turn onto a Motorway / Autoroute / Autostrada / Autobahn or whatever they are called in each country. These enable drivers with cars lacking acceleration (like mine) to pass slower vehicles and for faster vehicles to overtake me. They get you there quick but often this comes at a price (Toll). Some countries don't have toll roads these include the UK, Belgium, Germany and the Netherlands.
Irish Ferry @ Dublin
Irish Ferry at Dublin

Ferries

To get around Europe from my home in Wales by car requires the use of a ferry or the Channel Tunnel as mine is not amphibious. There are pages on this site devoted to looking for the cheapest way of crossing the Channel. The Ferry Deals Page gives a few options.

Air

Eurapart no longer covers European Air Travel. As there is a choice of more sustainable travel options available.

Car Hire

You might need to hire a car at your destination or take public transport. Car hire companies abound and we will include some pages on car hire in the future.

TGV French hish speed train
TGV High Speed Train

Rail

Eurapart train and bus pages.
Rail travel is an extremely civilised mode of transport. Eurostar, TGV, ICE etc are just a few of the new breed of high speed train that are cutting travelling times between the major cities. The Channel Tunnel allows a direct connection between the UK rail network and that of the continent.
Rail passes used to be restricted to Under 26's via the Interail Pass. I missed out on this when I was younger and now can't get the travel bug out of my system. I digress, Interail Passes are now available to all ages (more expensive for over 26's). For non European citizens then Eurail Passes are available. Interail and Eurail passes offer unlimited travel across most countries.
Some rail site worth browsing:
Additionally if you would like to find a cheap European rail ticket

Bus

National Express
Intercity bus service for the UK.
Megabus
Super cheap UK InterCity bus service. Seats start at £1 but are subject to £1.50 booking fee.
Eurolines Europe wide bus service UK arm run by National Express Coaches. London to Paris from £12 (plus £3 booking fee).