Clipping

My guess is that since the Led Zeppelin record is slam full of overdriven electric guitar and voice tracks and the jazz record is not so afflicted, you are getting what the producers of the record intended. All you can do is turn the Led Zeppelin down; the overdrive distortion will still be there but won't be as offensive. And if you have small efficient speakers, your Led Zeppelin will sound even worse than it otherwise would.

Try listening to Vanessa Fernandez "When the Levee Breaks." It's a 45rpm set of three records of her covers of Led Zeppelin songs. You're even able to hear the lyrics clearly, and she's a fine singer. Lots of the old standards on there. Highly recommended.