Finland: "The time within which you must get access to non-urgent care and treatment is laid down in law."
source, which has list of waiting times: https://www.hel.fi/en/health-and-social-services/data-and-th...
[1] https://www.laakarilehti.fi/terveydenhuolto/hoitotakuu-pitaa...
[2] https://www.iltalehti.fi/politiikka/a/f3392e98-c524-4c22-a53...
Nowadays more than 50% of Finnish newborns are covered by voluntary private health insurance, although all of them are covered already by public health care. I think that tells very much how much people still trust in the public health system.