Albums you can listen too all the way through and it's all good

Any Dave Brubeck and T Monk (that I have.) Bella Fleck, etc.

I tend to get tired of songs with lyrics played over and over, but not instrumental jazz.

A few:
Excitable Boy -Warren Zevon
Blood on the Tracks - Dylan
Sleeps With Angels - Neil Young
Graceland - Paul Simon
Court & Spark - Joni Mitchell
Trilogy - Emerson, Lake & Palmer
Stand Up -Jethro Tull

Some great choices above .. Genesis selling england by the pound , the lamb etc .any early camel too 
animals 

how about CD's that you like to play all the way through...maybe some more modern recordings?

Sorry, Shoe.  I wasn't making a distinction between formats.  I use "albums" to refer to a collection of songs as released by one band or artist regardless of whether on vinyl, CD, tape or digital download.  The Standard & Nada Surf are both "contemporary" bands.