I came onto Mumsnet today to post about this very thing!
I've had an ear and throat infection for three weeks - I coped with it with over the counter stuff for ages, but it's not shifting and I am in almost constant low-level pain, so it's time to see the doctor.
I phoned on Monday, and was told they were taking emergency bookings only, so was told to call back at 7:45am the next day (The phones are answered from 7:45-8:45, an hour before surgery opens)
So, I phoned on Tuesday, to be told there were no appts for that day, and "the system was down" so was unable to book one in advance.
So, I phoned on Weds (in the afternoon, as I was asleep all morning) and I got a voicemail telling me that the surgery was closed all afternoon due to staff training, and to call back tomorrow 
So, I've just got off the phone now (answered first time) to be told that they are booked up until the 12th April. I asked if I could make an appointment after the 12th April, and the receptionist told me that the "system" only allows bookings up to two weeks in advance, so....I have to phone tomorrow to try and get an appt for the 13th April!
I asked if they had a paper diary, and she said they do, but they're not allowed to use it for bookings.
It's the biggest surgery in town - I've already tried to change once as it took me 4 months to get a routine medical - that I paid £80 for - and I am still on a waiting list at the other surgery. Have been for 2 years (I phoned up yesterday to check) becuase they prioritise "catchment" patients.
Should I just bite the bullet and play the emergency card? I do feel like complete cack, but I'm not about to fall over and die (hopefully)
I have missed 6 days at work, though - and think I'll need to get a sodding doctor's note anyway!
AGGH!