I think you'll enjoy the shuffle lick that uses 2 common bar chords. You can use it on acoustic or electric guitar.
Be sure and download the cheatsheet below which has the chords and the rhythm written out.
If you're still struggling to bar chords I've included a link down below to my lesson on how to master bar chords quickly and easily.
Download The Cheat Sheet Here:
Very nice and interesting strum
Another good one to try thanks Tomas