I've approached this topic several times before
here and
here and
here and
here. It is a fun thing to consider, but also clearly a matter of taste, and so not everyone will agree. I won't be listing any Genesis or Yes albums, or anything by the Jam or Pink Floyd, even though I know people who would certainly have those bands' records on a list like this. This time I'll stick closer to the "classics" perhaps than my previous posts.
Obviously, I find Rubber Soul to fit the description, but with one caveat. I think the original American release is perfect, but I don't feel quite the same about the UK version, which became the standard once the Beatles were on CD. Of course now the American releases can be had on CD (individually since 2014, or in a 2006 box set).
Elvis Costello and the Attractions This Year's Model and Imperial Bedroom. For This Year's Model, I prefer the UK release because it included I Don't Want To Go To Chelsea, maybe the best song on the record, and not included on the original American release. Imperial Bedroom is the last great record with the Attractions, and the most Beatles-like record in Costello's catalog.
The Who Who's Next. Almost as interesting a story as the record itself. In the wake of Pete Townsend's overblown expectations and failed completion of his Lifehouse project, the best of that project and a few others were recorded for the Who's finest moment. A classic radio staple, it got played to death and still somehow sounds great today. One of many fantastic Glyn Johns produced records.
The Clash London Calling. They hit it out of the park. Nothing else compares to it. Not as punk as their earlier records, and not as indulgent (or in the case of Combat Rock, lame) as what came after it.
Moby Grape Moby Grape. A fabulous debut that the band could never again match. They had some great songs, but never again a great LP.
Bob Dylan Blond On Blond. It's hard to digest in one sitting, but any side is enjoyable on its own. There are of course other Dylan records to consider (Bringing It All Back Home, John Wesley Harding, Blood On The Tracks, Time Out Of Mind, "Love And Theft"), but Blond On Blond is the one that almost no one will disagree with as a perfect (or near perfect) outing.
David Bowie Ziggy Stardust And The Spiders From Mars. Again, every song a winner. Would we even have a glam rock category without this record? It also makes a case for Mick Ronson being one of the most underrated guitarists in rock.
Rolling Stones Sticky Fingers. This one is about the songs. The record contains the most consistently strong list of Jagger-Richards compositions of any Stones album. The pinnacle of their amazing 1968-1972 run of four great ones.
Kelly Willis What I Deserve. Perfect country record. Easy and Translated From Love come in awfully close. Willis has a great voice, writes great songs (many with husband Bruce Robison), and lays off the "modern" country sound that emulates 80's arena rock to stick to a more traditional mainstream.
Allen Toussaint The Bright Mississippi. Just right New Orleans jazz, and Toussaint's late career masterpiece. Not "challenging" jazz, but melodic and skillful. As near perfect as music gets these days, and timeless.
Irma Thomas Love Is The Foundation. Another New Orleans classic, Thomas has made a lot of fine music in her career. This one was recorded and released by Newvelle Records, a pricey niche vinyl-only label that produces (mostly) jazz records. Again, a late career masterwork.
I don't discuss jazz here as often as I listen to it, but here's three slices of jazz perfection: Nat King Cole After Midnight, Bill Evans Sunday At The Village Vanguard (both classics from the golden age of jazz in the 50s and 60s) and Stacey Kent Breakfast On The Morning Tram, a more recent choice, but no less compelling.