The number of oddball, often critical, places where I've found SQLite being used would defy belief. As far as I can tell, the "expected" place for SQLite to work seems to be almost anything that's not your normal dB driving some web-based CRUD app...all kinds of embedded systems, easy to manipulate in-memory scratch pads for bioinformatics, lots of data analysis tools in mobile communications.
It's so good, and so obvious, that I think sometimes it makes other tools that might be simpler fits for many use-cases less likely to be used, like leveldb.