The Beatles entered EMI Studio 2 once again on February 26 1964 ostensibly to record new material once again. There are two songs available as short snippets (around fifteen seconds) for these outtakes. They are included commercially on the "Anthology" video/DVD by Apple in an audio collage.
You can hear both takes 8 and 11 of "I Should Have Known Better" on the video/DVD as well as hearing take 11 of "And I Love Her" this time with acoustic instruments apart from the bass and the 12 string Rickenbaker which George plays.
Here is a cool video/audio mix someone did of some of the outtakes as well as the commercial versions with some footage at Studio 2: