This is where the cassette or CD are great mediums for listening to the full album (using the cassette's autoflip mode).
recently, i started going back through music collection to listen to full albums instead of the streaming track to track as you've mentioned. it was a very nice change of pace from just hearing random tracks continuously. it seems to be popular enough that even youtube has Full Album titles. the playlist assembling full albums are rather annoying for those albums with no gaps between tracks, but are better than nothing if that's all that's available. so now it's best of both worlds where it is streaming but still the full album experience.