When I was in high school, our stage band played Sammy Nestico's "Basie Straight Ahead" and "Hay Burner," both of which are on the Dot LP Basie Straight Ahead. This may have been Nestico's first major gig after leaving the military.
Well, after several decades of never finding that LP for a dollar, I was delighted to see that @felser was selling his CD copy, so I happily bought it from him.
I'm picking up on a real Mancini/Private Eye Jazz vibe on several tracks. The title tune in particular quotes riffs from Mancini's "Fluter's Ball" (Experiment in Terror) and "Chime Time" (Mr. Lucky), though, in fairness, those riffs likely predated Mancini.
This and Afrique are the only late-period Basie that I own. But I am totally digging Basie Straight Ahead.
I also bought from felser On My Way and Shoutin' Again, to complete my Basie/Hefti trilogy (unless you count the Frank Sinatra album, which would make 4). I will talk about that one at some point.