Google Cloud/Cloud SQL
From charlesreid1
Cloud SQL provides a serverless, no-ops way to run MySQL databases in the cloud.
(If you want to do all the ops yourself, see Google Cloud/MySQL for manual setup.)
Cloud SQL will let you use MySQL (standard) or Postgresql (beta).
Limitations: Cloud SQL is for smaller relational databases - up to 32 nodes in an SQL cluster, and up to 200 GB of data. If you need something bigger, use Google Cloud/Spanner, a horizontally sharded MySQL database solution.
Resources
Documentation: https://cloud.google.com/sql/docs/
Launch checklist: https://cloud.google.com/sql/docs/launch-checklist
Pricing: https://cloud.google.com/sql/pricing