The closest I will get to new, from this point forward, would be CPO. The savings are not what I would call huge over the new models, but they are a few thousand less, and I keep vehicles so long, 1-3 years off the life of the car is very little--I can still drive a 3 yo vehicle many miles & years. So I'll take a few thousand off the new price, for a car still in warranty, and drive it until it falls apart.
That would be for wifey's car. The Civic, I bought as my dd, in 2005, for 4900, when it had 80,000 miles. I would have no problem paying that much for another Civic or Corolla/Yaris, several years old, for much less than the new price, out of warranty, when it is time to replace the one I have now. Even if you factor in a major repair that you didn't expect, it still would make sense financially, for me to have bought used. The price per mile on my Civic will be ridiculously low by the time I decide to junk it, at 250-300K.