Family of 4 here with a Honda Jazz (aka Honda Fit in the US). Doing fine. Grew up in the states as a family of four and for most of my youth we had a Honda Accord - the early 90's ones that were smaller than a Civic is now IIRC.
Yes, including until recently an extended rear-facing Axkid Move* (that did, admittedly, make leg room for the front passenger less than ideal, though my wife is short). And we use Babyzen yoyos*, though we're getting past the pram stage of life.
Sometimes I bring a Brompton folding bicycle and a Thule Coaster trailer along with the kids when we want to go for a ride.