Someone jokingly said that Bob Dylan wrote Lay Lady Lay just to practice barre chords. So playing this song is how I learned to play the full barre chord on the 6th and 5th strings. Try it out:
A C#m G Bm <-- Just repeat this progression strumming each chord like this: ddu ud
5---4---3---2---e
5---5---3---3---B
6---6---4---4---G
7---6---5---4---D
7---4---5---3---A
5---x---3---x---E
Same shape chord, just moved from 6th string to 5th string and down the neck.