Blues and Jazz are blood brothers; you can't talk about one without discussing the other. The saying goes "The Blues is the Preacher and Jazz is the Teacher".
So it's pretty obvious that one day they should share the stage... indeed, Miles Davis and John Lee Hooker recorded the soundtrack for the Hotspot film.
Another giant meeting was with Muddy Waters and Dizzy Gillespie, where the latter shared the stage with Muddy and his blues band for a few numbers, and was later released as an album. To hear the signature trumpet sound of Dizzy over a Chicago style 12-bar blues is dazzling!
Unfortunately there are no Youtube links to share... and for copyright reasons I can't post MP3 links.
Suffice it to say that these cross genre collaborations are always fun to hear and watch.