US Bank's standard Avianca credit card offer has always been 20,000 bonus points.  As pointed out by View from the Wing, there is now a 40,000 sign up offer!

I have always wanted to take advantage of the one way business class award redemptions to Japan or Taiwan. Booking standard awards via United, US Airways, and AA miles is getting somewhat… boring.  Intentionally missing the last leg of my trip so I can explore Asia… now that's the excitement that's missing in my life!  Miss a leg?  Yes, there is a bit of a trick involved here which may not be for everyone (which is best explained in the milevalue link above.  In short, here's the trick, you book a 1 way ticket from NYC to Guam.  When you connect at Japan or Taiwan, you miss the last flight to Guam and stay to explore whatever part of Asia you want. Note: you cannot check any bags because they will end up in Guam, but if you are willing to travel light like me, your carry on plus laptop bag (where you can put some more clothes) will be enough. If you really need some luggage you can ship it to the hotel with FedEx or UPS (you are still saving money considering a business flight one way may cost around $2500). Note2: you are not booking a round trip – it won't work. To get back you'll need to figure out another 1 way award flight using some other.  Getting home is part 2 of the excitement (of course you will have that arranged before you leave so no big risk!)

Application Link: http://www.lifemilesvisa.com/credit/offer.do?redirect=19839es&lang=en

If you apply today, you'll get 20,000 Bonus LifeMiles with your first purchase and also receive an additional 20,000 Bonus LifeMiles when you spend $3,000 with your card within the first 120 days of account opening.  The annual fee is waived in the 1st year then its $75.

Offer expires April 30, 2014!

Here's the fine print I found:

This promotion is valid only for members that get the LifeMiles Visa Signature Card. We will first consider you for the LifeMiles Visa Signature card but if you do not qualify you can still earn LifeMiles! You’ll automatically be considered for the LifeMiles Visa® [Platinum] card which earns 15,000 Bonus LifeMiles when the first purchase is made, 3,000 Bonus LifeMiles with your annual credit card renewal and 1 LifeMile for every $1 in net purchases everywhere Visa cards are accepted. If you are not eligible for the LifeMiles Visa [Platinum] card, you will be considered for the LifeMiles Visa® Secured card which earns 5,000 Bonus LifeMiles when the first purchase is made and 1 LifeMile for every $1 in net purchases everywhere Visa cards are accepted. The LifeMiles Visa and Secured cards do not earn double miles on Avianca purchases or an additional 20,000 Bonus LifeMiles after making $3,000 in net purchases within 120 days of account opening. The Secured card does not earn Annual Renewal Bonus LifeMiles. The Secured card requires a minimum deposit of $300 provided by the cardmember that will be held in a security deposit account. Full details of the Secured card will be provided upon qualified status.