Samson7256 just pointed this out on FlyerTalk, so thanks for the cheap easy miles! You can earn either 900 or 1,400 United Mileage Plus miles for just $0.99 via the MileagePlus Shopping Portal.
It looks like this offer is available on all the different shopping portals in different amounts. I found the best deal through American Airlines offering 1,500 miles for the $0.99 digital subscription!!
Simply log into your whichever shopping portal you want the miles for (or all of them!) Once you are in the shopping portal do a quick search for New York Times.
In the results you should see three offers. The third option shown above is the one you want. You may or may not see the 3rd result depending on your zip code. If you do not see the option for the digital subscription it has been reported that all you need to do is use a zip code that does not offer physical delivery, which apparently mine doesn’t (57107). Once you enter that zip code you should see the digital delivery option available.
The offer is with a new subscription which is $0.99 for your first 4 weeks. The terms state that the offer is NOT valid for subscriptions cancelled within 120 days, however several people are reporting that they received the miles w/in 2 weeks, so it is worth a shot if you want to do it and cancel before the 4 weeks is up. Also the original poster claimed he has done this offer twice, so you might be able to churn it. However I would recommend that you do not get carried away with it as it may throw up red flags and ruin it for everyone.
Let me know if how your luck goes!