I have always been able to get an appointment on the day by ringing at 8:00am and either re-dialling if it is engaged or hanging on in their queue. I don't think I've ever waited longer than 20 minutes, but I do make sure I phone on the dot of 8:00.
I have no choice as to which doctor I see.
I have not managed to book a slot with a specific doctor for over 2 years now. The one I want to see seems to be permanently booked up for the next two weeks and presumably there is some Law or Act of Parliament that forbids the surgeries from making up their appointment books further than 2 weeks in advance.
I can get a telephone consultation pretty easily, which is sometimes perfectly satisfactory. I have never been refused an emergency appointment when I have asked for one later in the day. Fortunately I have only had to do this twice or three times in the last five years or so.
So I guess the service is not too bad.
Before they started with this 'phone at 8:00' system, I was able to phone any time of day and get an appointment if not that day , certainly within a couple of days...which I thought was better, really.
What does puzzle me, though, is that most times when I do go for my appointment, the waiting room seems very empty. (There are 4 full time partners in the practice I go to plus a couple of part time doctors and a GP trainee.) It makes it difficult for me to believe that they are so very busy.