Let's say I buy a Ferrari or Lamborghini, or perhaps borrow one from my parents or a friend. I then proceed to drive it around town and generally just have fun driving the vehicle, with no particular destination in mind.
The term "joyriding" has a connotation of both danger and theft (my emphasis):
a fast and dangerous ride, especially one taken in a stolen vehicle. (Oxford)
"Take it out for a spin" is the best I could come up with, but I'm sure there's gotta be a better term out there.
Are there any terms (not necessarily one word, but as minimal as possible) which mean "to drive a car around for fun" without the connotation of dangerous driving or stolen vehicles?