I use sound hound. Idk much about shazam but I know sound hound will find the song but once you find the song it will pull up the lyrics automatically and uses a small window to show the lyrics and progressively follow the lyrics with the song as it plays and you can also do this with songs in your iTunes library.
Turning phone to landscape fills the whole screen and it highlights the lyrics as you go along. Portrait shows album art in the background. Also when you search for a song it automatically pulls up a YouTube search for that song so you can watch the music video (that is if it exists, which most do)