Generally speaking, it is hard to get into most medical centres same day; however they are all pretty good. My favourite is Fulham Street General Practice. Especially since they expanded. They have roughly 10 doctors available, provide special care to ongoing patients (like those who need regular blood tests, etc) and you can normally get in the next day to see one of the doctors. They do not bulk bill over 18's though. The great thing is that there are so many medical centres- there is also Belgravia Medical Centre, Healthpoint and one up near Orrong Road Rivervale (the name has escaped me). We also now have the After Hours GP on Belvidere Street.