This is a cool template I made to get students comparing and contrasting two songs. You don't need to use the template but the idea can be done just with good old paper and pen.
Play two songs - the original and a cover. HERE are some ideas.
Ask students to compare them in groups and then take their responses. This will really get students speaking and using their English. Help as necessary with vocabulary and expressions.
Here are two songs you might use with this activity.