I don't think the ball is in the customers court hereto come up with solutions, but some alternatives might be
1. donations like patreon, flattr, paypal etc.
2. pushed down on people throat a different way e.g. build into your monthly internet bill (the same way as piracy 'damages' were included in CD and DVD prices)
3. maybe just let those parts die
edit: 4. I really did enjoy South Park sponsored content
Patreon is working reasonably well, and other sites are using a similar model even if they don't use Patreon specifically. Flattr is still around even though it isn't very popular. Readability tried this and distributed some money to site owners, but they didn't have a good reputation with site owners and eventually folded. Looks like the Brave browser is trying a similar thing now.
Yeah, the adv industry is a nasty one, but still this movement is not providing a viable (any?) alternative option to finance the web.