Tell me about public blockchain apps that do not involve objective money or objective identity, which require strict global consensus, why they should be built on public blockchains, and why haven't they been built yet? I'll consider writing a post, when I get back to it, to explain why it does or doesn't make sense

First can you define something of importance that represents a disassociation of money and identity as you describe? 

Is skateboarding free of money and I identity? I need to be a person to skateboard and I need money to buy it. If I do it well I can get paid.