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Schemaverse
The Schemaverse is a space-based strategy game implemented entirely within a PostgreSQL database. Compete against other players using raw SQL commands to command your fleet. Or, if your PL/pgSQL-foo is strong, wield it to write AI and have your fleet command itself!
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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
A coworker used to solve Project Euler[1] problems using SQL while they waited for DB indexes to rebuild or tables to restore from backup in the middle of the night.
[1] https://projecteuler.net/
Not quite puzzles, but since someone else mentioned Schemaverse, I have made a similar but Elite inspired SQL-game called Datastar [1]. It features a simulated economy with traders and miners, and the goal is to make as much money as possible. Everything is done via SQL (or other PostgreSQL features), and the player need to make and manage a database of information about the planets and their economies.
I teach uni. couses on databases and made the game for my student to give them a more self-driven way to learn SQL.
[1] https://gitlab.com/leifhka/datastar