I wish you didn't have to watch those shows by yourself without your therapist there to 'ground' you. That said, I don't think 5 min. is a failure, when before you couldn't do any of it. Another strategy might be to watch something that is real mild as far as medical exposure, and work your way up. I'm guessing it would be better for you to not start with looking at simulated surgeries.

I like the tattoo artist suggestion. Yet another idea is to google non invasive medical tests and start with that... watch a demonstration on youtube. Say, an x-ray, or an MRI - something where it does not involve needles, etc.
If you have to have your blood drawn, etc., do not look at what they are doing, tell them ahead of time that you don't want to see any needles. And if you could have someone to talk to you about something random, silly, etc. to occupy your mind, it will be over in one or two min. The actual needle stick is less than a second, and often you can't even feel it.