Back in the day, Lustmord recorded for Sterile Records, Third Mind, and other noisy 80's labels. It took them a while to develop their "dark ambient" schtick and the early recordings are much more varied. Dark Vinyl reissued their debut LP on a CD with some bonus material a while back, but this tape (on Sterile, if I recall correctly) has never been reissued to my knowledge. I can barely find info about it on the web, but I did find out that it was released in 1983. This is a dub of a friend's original copy, burned to CD on a standalone player and then ripped to MP3 with LAME (like almost all of what I will offer here - it takes longer, but is worth it).
I don't have the track titles, if somebody knows them please leave info in the comments.
Lustmord - Lustmordekay cassette
UPDATE: Here is a link to the cover art and release info (it was indeed a Sterile release).