Although not one of The Beatles’ best from the lyrics angle, I Should Have Known Better is a very fun-to-play strumming song. It is from A Hard Day’s Night and featured a Bob Dylan-esque harmonica intro, which translates very well to the guitar.
Other than that it just uses some open chords and simple strumming patterns. The lesson is done as an ear-training exercise so be sure to watch the first segment before looking at the chart or tab. There is also a short look at George’s solo, which simple followed the melody.