The one method that become very popular in Brazil since the 80s is the "whole word" method. The child is supposed to memorize the form of the word instead of decoding it. No need to say that's not efficient (as the latin letters allow the sound/sign conversions), it overloads memory, and in the end, the child takes longer to learn. The standardized tests in Brazil show that.
Now, for why phonics and syllabic method had been replaced with the whole word method here in Brazil... that's another and long story.
EDIT 1: typo.