I have E60 2004 and its out of warranty. I went to my local dealership and my SA said that my car need some days to do oil change, battery replacing, check brake and suspension, and get the car re-programmed.
my SA is going on vacation for some days, he told me I better bring it when he get back to work.

I was worried that I wont have a car for some days but he said I could get a loaner car

 

I have a 2004 E60 myself, the warranty ended about a year ago and I took my car to the dealer last week (transmission issues) and I did get a loaner free of charge. So yes you should still get a loaner free of charge at the dealer after the warranty expires.