Using BugMeNot on NYT's site tends to be a game of "Nope, they've blocked that username/password ... and that one ... and that one", at least for me. Simply not reading NYT articles tends to appreciably reduce the frustration in my life.
The linked page shows the "best" of their available logins having a 55% success rate, the next at 52%, and everything else at 50% or below, as of the time of this post.