Billy Gibbons, Dusty Hill and Frank Beard, collectively known as ZZ Top, probably are the only intact major rock band from the 1960s still firing on all cylinders. Since their formation in 1969, ZZ Top’s blues-based sound has yielded international sales of 30 million records and the classic-rock staples “La Grange,” “Legs” and “Sharp Dressed Man.”

ZZ Top’s May 20 show at the Saenge...