Datasette serves JSON, CSV, SQLite, and a bunch of others as well. Don't think it handles Parquet tho

  https://docs.datasette.io/en/stable/ecosystem.html#sqlite-utils

"Insert data into a SQLite database from JSON, CSV or TSV, automatically creating tables with the correct schema or altering existing tables to add missing columns."

There's a bunch of plugins (mix of official and user-developed) that might add other formats too, I'm not 100% sure:

https://datasette.io/plugins?sort=downloads-this-week