I'd like to see a way to get a non-government based passport for travel, where the organization issuing it does basic checks and certifies you're not a criminal

I'd like to see a way to get a non-government based passport for travel, where the organization issuing it does basic checks and certifies you're not a criminal and can take care of yourself. It's a bit of a catch-22, but if you could get enough places to start taking this sort of passport for entry, then soon most places would have to. This would be good for people who like to travel to interesting places that are dangerous to travel with their native country's passport, and for talented people with dysfunctional/oppressive governments.