Social safety nets were funded and provided by churches and similar organisations for quite a while. The problem with using unions, guilds and professional organisations is that different professions pay different amounts. For example fast food workers, teachers and developers are in very different brackets hence can pay different amounts into the system. Why should a fast food worker get less maternity leave than a developer? I have no problem with disparate groups providing services, but do strongly believe that a fair and just society requires centralisation of the funding.
That's not necessarily a problem. One could cut the corporate tax rate and fund benefits through income/dividend/capital-gains/sales/VAT taxes.
One big problem I see with this is that of corporate personhood. If you cut corporate taxes and raise taxes on dividends and capital gains, you are basically promoting investors to not leave their money inside the corporation. Once this happen, you have to ask the question of what corporations are for? If they do not provide benefits for their employees, and not provide dividends for their legitimate owners, and yet not provide tax revenue for the government (and indirectly, to overall society) under which they operate, then exactly why do they do what they do?
(Oddly, though, this means that it's in every government's best interests to encourage globalization, and then get their citizens to consume all their products from foreign companies, while not having to deal with having any local companies consuming local resources. Presumably, local employees would also be employed remotely by foreign companies, or by local foreign-owned corporate subsidiaries.)
How about having unions, guilds and professional organizations provide the social safety net you cherish so much in the abstract. I am sure there would be many problems but at least there would be no doubt where the funding would come. "You deal with one of us, you deal with all of us. And if you play dirty we will make sure you don't get the service we provide at ANY price on this side of bankruptcy"