In the search box , where it says "Enter table name", have you entered the name of your table (or just press Enter if you don't know the name)?
If that doesn't work, try the sample database referenced in the KB article ( Customizing and Tuning ODBC Connections | Tableau Software ) and see if that works. This works for me with Tableau 9.3 (I downloaded the 64 bit drivers from SQLite ODBC Driver ). I do see the same odd looking filename-as-entire-path but that doesn't seem like an issue.
Doh! That's it, thank you very much Jeff, all the tables appear - I don't quite know how I stared straight at that without seeing it! Also all the date formats imported perfectly, which was raised as a concern in another sqlite thread.