On the same note I did a mariadb container that is ~12mb: https://hub.docker.com/r/jbergstroem/mariadb-alpine/
If you're into go, it's not too hard to get very small (<5mb) shippables by statically compiling against musl and using upx. Here's a somewhat scrubbed Dockerfile for a gRPC/rest service I use at work: https://gist.github.com/jbergstroem/680cb7db6f90319dcd7666f3...