Biggest pet peeve of health care? The cost! I purposefully don't have health insurance because of the added cost... well I did have it for a month, and came to find out it was a bait and switch. The plan supposedly covered Dr visits, prescriptions, lab work, etc. it sounded pretty good when I signed up. Then I went to the Dr. "Oh we don't accept that". Okay. Then I went online to the insurance company's online pharmacy to fill my prescription. They were provided at full cost with absolutely no deduction, and when I called to speak to the pharmacist they confirmed that it wasn't covered. I later learned that there are tiers of coverage for prescriptions under the ACA and of course, mine was in the tier that gets NO coverage whatsoever! The only thing that insurance was good for was lab work, so instead of paying $125-$150 out of pocket for my blood work, I ended up only having to pay $25 which was nice. But the monthly bill was ~$260 and bloodwork is a once every few months thing and hardly necessitated paying for the ineffective insurance! And to top it all off, a month or two after I canceled my policy, there was a huge data breach and all my personal info was exposed to identity thieves!
So because of the high costs of health care I basically have to take a gamble with my own health and use cheap generics from Walmart that are $25 compared to the latest and greatest medicationes that are $200-$400 per month. Having a chronic health condition has made me very aware of the outrageousness of the US health system and it makes me very angry that nobody seems to really care about fixing it and would just rather roll over and let the pharmaceutical and insurance companies continue to exploit the living and extort the dying.
As a Swede with a chronic condition, I can tell you that the issues exist in all systems in all parts of the world, but the U.S. is of course possibly one of the worst. It's a horrible combination of very weak market aspects and stiff regulations.