I sort of like the idea......and the fact that the band plays the entire album, doesn't necessarily mean they won't play some other songs before and/or after.
I'm only aware of a few.......the previously mentioned Brian Wilson (Pet Sounds)...also REO Speedwagon (Hi Infidelity)....Elton John '75 (Captain Fantasitic)...Pink Floyd members (Dark Side of The Moon)....
It's a good chance to see live performances of lesser played ("deeper") tracks.
BTW the Elton "Capt Fantastic" show was the 2nd disk of a CF re-issue. Another unique fact (I think) is that...unlike performers that do it 10, 20 or 30 yrs after the album has been declared a "classic"....Elton did it before it's original release in 1975....must've known it was gonna be a good one.
He did it again in 2005. [
en.wikipedia.org]
IORR............but I like it!