On April 1st 2016 Google announced a Public DNS-over-HTTPS service:

https://developers.google.com/speed/public-dns/docs/dns-over-https#introduction

The API is only a beta and whilst not based on a standard, any public server that offers encrypted DNS to users is a good thing. But note that there is an active I-D in the general area of DNS-over-HTTP:

https://datatracker.ietf.org/doc/draft-song-dns-wireformat-http/

Our understanding is that this service was made available as a convenient web interface to test DNS queries, and potentially for use in some lightweight applications. It was simply intended to be a complimentary offering to the work of the DPRIVE working group with regard to DNS Privacy.  

We took a look at it at the recent IETF Hackathon and starting coding a prototype implementation in getdns just for fun. Here are some things we note: