Head phones noise cancelling cuts down extra unwanted sounds. This entire process is executed through active noise control where one or more microphones are placed near the ear. The reason sound isolating earphones are so much better is because they were originally designed for musicians to ensure they only hear themselves while on stage with the loud music in the background. They use soft sleeves that block out background noise and allow small drivers to deliver surprisingly clear sound directly to your ear. Visit this website where have got more good reviews and recommendations on sound isolating earphones.
I just bought the Honeywell ear phones, and have been very happy with them. I used to use standard ear buds, and these block out much more sound that the earbuds did. I did not need the radio as I listen to music downloaded on my phone. At $30, the price as right!