Hi anadxof! You can go to tv.com and search for Moonlighting. They have an episode guide which also contains a list of all the songs used in each episode. From past experience (see elsewhere on this board! ) they are not always 100% accurate but for the most part the songs and artist listed at this site are correct. Btw many of the songs from the episodes of ML were not 80's songs but songs from the 1960's. Hope this is of some help.
There was a web site selling all the music (less most of the stuff on the original soundtrack). It came on 4 CDs for about $35. I picked them up and have them in my car. It's great playing Papa Was a Rolling Stone when zooming down I-83 in my 328i! The CDs do not have any of the Cybill or Bruce tunes nor the theme song, but everybody has the original soundtrack anyway. The CDs are arranged by season, but not necessarily together by show. I assume I could always rearrange them on my PC if I wanted to get that detailed.
Lin, I just went to the Moonlighting Shrine website (google moonlighting shrine). You have to click on 'Look' and then on 'Episode Guide' and then 'Season 5'. If you scroll down then you will see a sign saying "get the music here'. Click on that and you get all the info about ordering. I know this sounds very complicated but then again I'm not very technical!