UPDATE; At some point in the last few weeks this deal started giving out 55,000 total miles instead of the 100,000 that was available at the time of writing.  The good news is that you now can charge a total of less than $2,000 over 3 months to get those miles. We suggest calling Citibank after you're approved to confirm what your bonus will be and how much you have to spend to receive it.

ORIGINAL POST; We just flew free to Europe using the following deal.  We use a LOT of frequent flyer miles, but this is the only deal we've ever seen that gives you enough miles for two round-trip tickets to Europe without even paying an annual fee. 

Citibank offers an AA airlines card that gives you bonus miles when you spend a certain amount within the first 3 months.The system technically makes you choose between applying for the Amex and the Visa.  However, there is a way to get both cards, and both bonuses, for a total of up to 100,000 frequent flyer miles. The trick is to use two computers - this is also what makes it so fun, you feel like Julian Assange (if Julian Assange devoted his time to free vacations rather than bringing down governments). Open the following two links:

We filled out the Amex on the computer, and the Visa on the Ipad. If you hit the "APPLY" button at the same time the system allows you to get both cards. You have to spend $3,000 on each card during the first few months to get 100,000 miles AND a $100 bonus credit. Cancel the card before the end of the first year and you avoid the annual fee. The links were still live and working as of mid-July. They could be taken down at any time.

Use the link below to see where you can travel with your 100,000 miles! That's 200,000 miles if your husband or wife also does the trick. 300,000 if you also get the business card. With 300,000 miles you're looking at 1st class flights almost anywhere in the world... FOR FREE.