Cannibal Corpse is my favorite band, period; inside of death metal or out. Tomb of the Mutilated is my choice for Barnes era, and Bloodthirst for Corpsegrinder era and overall. Bloodthirst is actually my favorite fucking album of all time, and to me it's their absolute zenith. Vile, Gallery, and Wretched Spawn are other great picks for later era stuff, but personally I think they went down a bit in quality with Kill and then plateaued there and have as of yet remained. Though I have only heard one track from the new album and thought it was straight garbage. I'll agree that Gore Obsessed is underrated but I don't think it's essential within their catalog by any means.
Tomb and Butchered are really the only Barnes albums I love. I haven't heard enough of Eaten, it never caught my ear as much, and I think The Bleeding sucks.