I haven't had a chance to read this whole thread, but like other veterans I'll repost mine:
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1. Desperado - it's the only Eagles album where I thoroughly enjoy every single song. The songs are stupendous, but none of them are my absolute favorites. However, in terms of ranking albums, the combined strength of the songs as a cohesive unit both thematically and sonically puts this at the top for me. It has a great range of emotion - compare Out of Control and Saturday Night, for instance - but it all works together seamlessly. It really is almost cinematic in the way it unfolds and I never feel the urge to hit the button to go to the next song. I especially love the way they merged Desperado and Doolin-Dalton in the Reprise. Genius.
2. On the Border - I like every song on this one, too, except for You Never Cry Like a Lover which annoys me as a woman. "If she's not crying like a lover maybe YOU need to try a little harder, buddy" I want to say, lol. I love the interplay between the bandmates - Glenn and Don sharing vocals on Good Day in Hell, the way all the band members blend for Midnight Flyer. The Best of My Love is gorgeous and Already Gone is wonderfully defiant, almost anthemic. James Dean is a fun song, and Ol' 55 is absolutely beautiful. I know they didn't write it, but Glenn and Don's vocals work together perfectly to convey the mood of the song. Bernie's My Man is incredibly moving, and while Is It True isn't very deep it's got a nice melody. Ironically, I wasn't initially too fond of the title track - it was obviously a "message" song but I couldn't take it seriously with lyrics like 'foolin' with my baby on the telephone.' However, it's grown on me, and I've come to appreciate the song's lyrics so much that I named the board for it.
3. Hotel California - here's where I start to deviate from popular opinion. For me, this album and its title track is a teeny bit overrated. However, when taken as a whole, like Desperado, the album presents a sophisticated cohesion that I admire. I adore Pretty Maids All in a Row and NKIT, and the rest of the songs are all very strong, although I admit I find The Last Resort off-putting in its self-righteous preachiness. Despite that, it's a pretty melody. I originally had HC as second, but as I was doing the write up for OTB, I realized that it was more fun to listen to OTB than HC, so HC got knocked down a slot. Still, they're very close.
4. Long Road Out of Eden - Not the best, but not their worst either. While it does contains some stinkers like Frail Grasp and Fast Company, it has incredible songs like What Do I Do with My Heart and Waiting in the Weeds that stack up to their best work. Plus, the fact that it's a double album gives us more to love!
5. Eagles - despite the fact that they were just getting started, I like this better than some of their later works. I think Most of Us Are Sad is one of the Eagles' most underrated songs. Of course, Take It Easy and Peaceful Easy Feeling are magnificent. I also like Witchy Woman, though not as well as most. I always thought it sounded a bit cheesy, although I like it more now than I used to. After hearing live versions, I have also come to appreciate what I once ridiculed, Chug All Night. I also think Train Leaves Here This Morning is good, although the other tracks are pretty forgettable.
6. One of These Nights - good, but uneven. I know Glenn considers this the Eagles' best album, but I just can't agree with him. It contains my all-time favorite Eagles song, Take It to the Limit, and other terrific tracks like Lyin' Eyes, Too Many Hands, and After the Thrill is Gone. Unlike many, I find Journey of the Sorcerer, Visions, and I Wish You Peace listenable and in fact, I admire Bernie for trying something different with JOTS. Still, they're not going to find my way onto any "Best of Eagles" mix CD I make for myself. I am also one of the few who was never overly impressed with the title track (which Glenn has said is one of his best songs - makes me feel guilty but oh well!) I used to think it was really dated-sounding. Seeing it live made me appreciate it, but it will never be a favorite. Hollywood Waltz is OK, but a little boring.
7. The Long Run - even more uneven and containing some of the worst Eagles music ever released, IMHO. (Here's where I get REALLY controversial! lol) It has moments of brilliance: Heartache Tonight, Those Shoes, I Can't Tell You Why. Unfortunately, those are outweighed by moments that make me cringe. To me, Disco Strangler and Teenage Jail are so awful that they make my ears bleed. The Greeks Don't Want No Freaks and King of Hollywood also don't appeal to me. I do enjoy The Long Run, In the City, and The Sad Cafe, but I've never considered them standout Eagles tracks, and they can't save the album for me. Of course, it's all subjective.