"Complete" runs of soaps in production prior to 1980 is not something anyone ought to expect to see. Soaps of the 1950s and the first half of the 1960s went out live (rather than pre-taped). When soaps began pre-recording episodes to air later (mid-1960s), the networks "wiped" the tapes and re-used them (taped a new episode over an old one) as a regular course of action. The reason youtube only has random episodes of many pre-1970 soaps is because an occasional episode was saved for whatever reason by a viewer or some station employee. Wiping only stopped once videotape and the equipment used for recording became cheaper (late-1970s). The complete or near-complete runs of Dark Shadows, Ryan's Hope, and The Doctors only exist because the owners of the shows wished to keep copies for their own records; they eventually sold the reruns into syndication. But the majority of soaps with names we recognize would not exist in a complete run. The best we can hope for would be virtually nothing prior to 1975; spotty collections of episodes starting from roughly 1976; and consistent runs of episodes only after about 1982. It would vary, of course, since home video machines were catching on in the early-1980s and stray groups of episodes might be found and collected into a more cohesive run if people put a LOT of work into conserving/archiving the tapes. Procter and Gamble seemed to start saving some of their shows (Edge of Night, Search for Tomorrow) as early as 1978, while others from their stable didn't start until about 1980 (Another World, Texas). P&G is sitting on a large collection of soap reruns and it is a constant source of frustration to me that they rarely if ever offer up any of that collection to be viewed.
We won't even go into the issue of "rights" to air the episodes, since any service that attempts to air the episodes would need to pay licensing fees and iron out legal issues stemming from music rights, possible residual payments to actors or writers, and of course trying not to get shut down by the owners of the episodes who might not want others making money off their products.