I'm lucky that my GP surgery is really good and easy to get a same day appointment as long as you ring first thing. If you ring later in the day and they can't fit you in a dr will often ring to advise.
However, I've got a very adventurous and fearless son - we've had to take him to A&E. First time, he got hold of a razor (awful, felt guilty for ages - I had left it on the sink - high up but visible and somehow he got it down and slashed his lip with it). He bled like a stuck pig - called 111, they said straight to A&E, by the time we were seen you could barely see it. We were very embarassed and desperate to leave, but once we had been triaged they said we "ought" to stay and see the dr.
Second time, also his lip, but tripped and put his tooth through just under the lipline. Again rang for advice, said we needed to take him, A&E said he needed to see a plastic surgeon just in case, waited for 5 hours and then - again as everything looked fine - we left against medical advice (they wrote it in big letters on the discharge!)
Last time he got hold of some melatonin tablets, rang dr, they checked it out and said A&E, he was unresponsive in the taxi and I was panicking. By the time we saw the dr he was racing round the waiting room. Then I got a letter from the GP pracitice saying I'd misued A&E and was I aware of other options. I took the letter into the practice manager and explained very nicely that I had gone on the advice of their duty GP...
I've also got a SIL with severe bi-polar effective disorder. When she needs help over weekends the OOH MH service is so stretched that the only advice they can give us is to phone the police and they'll call an ambulance. It's a ridiculous waste of so many services, and having her in a manic cycle in A&E is very upsetting and stressful for her and other patients. She'll make inappropriate comments, invade people's personal space and cycle through behaviours very loudly, so one minute sobbing, the next laughing manically, the next sitting on some poor random bloke's knee and flirting. We can't always take her, the police just dump and run, so she's not easy for the staff to deal with.
A combination A&E, minor injuries and GP sounds ideal, and I'm surprised there isn't that set up in more places. We certainly don't have it near us but surely it's an incredibly sensible use of resources.
I do wonder about the short sighted way everything is tackled in this country. Surely it's far more expensive ultimately to overload A&E than to fund core services. Why isn't that taken into account?