The "Adagio in G Minor" is a glorious piece, but the modern consensus is that it's not by Albinoni, even though many recordings attribute it to Albinoni.
Musicologist and Albinoni biographer Remo Giazotto (1910-1998) claimed to have discovered a manuscript fragment by Albinoni that he expanded into the Adagio in the 1940s. However, the manuscript was never produced, and no one else has found it. It seems Giazotto composed the entire adagio himself.
It's strange that he didn't want to take full credit for such a beautiful piece, but perhaps it flattered his ego more to pass it off as a work by Albinoni.
I'm not familiar with Albinoni's other works, he may deserve to be on the list anyway.