The project finally see some light. It comes to a prematured state where it is working smoothely, but with lack of some features. I have to go thru every piece of code where SQL statements are present and I make them SQLite compatible. The project is not finished, Category and Image upload is not working properly but I will complete them next week. I have been suddenly bz in another official project which I have to complete within next 5 days, so I may not be able to contribute before next week. But I am extremely confident that I can solve those problems.
You can download this prematured version of WordPress4SQLite from the following link and just after modifying the config file as usually, you can proceed.
Please note that error reporting has been turned off just to save you from some annoyances . If want to turn error reporting on, open wp-includes/wp-db.php and remove the error_reporting() function.
There is a sample config.php file present already. You can modify it to kickstart using WordPress4SQLite. Please use absolute path for database file.