The first "album" that I ever owned, purchased with my own money, was Hotel California. (I had some 8 tracks of Desperado, On The Border and Greatest Hits). I nearly wore out the grooves playing it all the time.... It ended up in the rear window of my girlfriend's car, needless to say, it got a little difficult to play. Went out and bought the cassette the next day.
Prior to that, my favorite Eagles tune had to be Tequila Sunrise or Already Gone...