I've never used Pandora in a paid mode, so I can't speak to that.

Spotify has some features that map to this, but is way more artist focused than album focused. When you click on an artist, you get the artist's page, and navigating to the albums that you have added by that artist is nearly impossible. That is, there's no way to engage hierarchically -- to say "I want to listen to a Neil Young album that is in my collection". You have to either decide on the album from memory and just find it, or you have to go to the artist and hope that the album you like is one of the "recommended" or "hot" ones by Neil Young.

Create a playlist from the album so that it's in your "collection" (of playlists). That's only way I know how to accomplish.