Since you guys have covered great start-to-finish records of the 60's and 70's pretty well, here's a few great ones from the last 25-30 years that I've fallen in love with:
The Raconteurs - Consolers of the Lonely
Nirvana - Unplugged
Chris Stapleton - Traveller
Low Cut Connie - Private Lives
Gary Clark, Jr. - Blak and Blu
Tom Petty and the Heartbreakers - Mojo
Metallica - Hardwired to Self-Destruct (the first disc, anyway)
The Dream Syndicate - How Did I Find Myself Here?
The Silver Jews - American Water
Jamey Johnson - Guitar Song