Try Beastie Boys. Paul Revere is a great song by them. Really fun lyrics. You might also like some Sir-Mix-Alot, Cypress Hill, or Biz Markie. I'm guessing you're not a fan of the violent gangster rap style. Outkast may be a decent option for you that's a bit more recent.

You don't have to like everything. If it's not for you, then so be it.

If you like Run DMC and really want to keep trying to find something you like, look to other artists of the era. A good trick for finding similar music is using pandora and listening to the artist's radio, Run DMC Radio for this example. Down thumb anything you don't like. Don't ever thumbs up though. Thumbs up will have it playing the same songs relentlessly.