I have lived in the UK since 1985 (minus 1988-1990 in California). I have always had very good support from my local doctors and their offices. Usually you can call in the morning and get an appointment the same day from one of the staff doctors at the office. Waiting times vary from 10-45 minutes, usually 15-20 mins.
I have had the usual range of illnesses over that period, plus recently prostate cancer and cataract surgery. I have not paid a penny for any of my superb treatments: cataract lens replacement (brilliant), prostate cancer treatments, including DaVinci robotic prostatectomy, and thirty-three IMRT computer-controlled radiation treatments follow-up. I’ve had many addition surgeries and procedures on my urethra etc.
My bus/train travel was even rebated to me until I turned 63 and I now have a 100% free travelcard in the London area for buses and trains. I continue on a variety of medications, all 100% free and supplied at my local pharmacy. (There is a flat fee of about $12 per subscription before the age of 60, usually)
Without exception, every staffmember and doctor has treated me with skill and respect, and a genuine joy at being able to help me. I am blessed.