The cheapest and FASTEST way is to buy blank cards from Viking (the online stationery store). They will sell them to you in A4 sheets that you run through your colour printer and they are perforated so you can cut them up neatly after you have printed them.

They will cost you a fraction of what you would normally pay and it is so super fast and easy I am surprised more people don't use this cheap trick.

Its still going to be faster to call a shop than to go through a warehouse online discounter, not quite as cheap though.

Business cards help form a customer’s first impression of you. Using business cards gives an image of professionalism and shows that you take pride in your work, both of which are vital qualities for the customers of many small businesses. TheBestPrinting offer a wide variety of paper colors, typefaces, and more customization and personalization options than a lot of other printing companies.

Well

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I need to get several thousand business cards printed in Europe, as I will be traveling around Ireland, UK, France, etc. In the US we have discount online printing companies. Is there a European equivalent?