Same here! Switching to Alpine for most services was essentially painless. To go a step further, the images with binaries that have no dependencies (mostly programs written in Go) use scratch Docker images. This way we get 5MB images, where the size overhead of Docker is nothing.
I have found that images with a single executable and perhaps /etc/passwd with no other files prevents to use docker exec as a valuable debugging/poking tool. My preference is to have a single image with all the services and basic tools included and use it to run all the containers on the machine.