In the 1700s a Book of Jasher was published that alleged to be a translation of the Book of Jasher by Alcuin, an eighth-century British writer.

Another work named Pseudo-Jasher and written in Hebrew is dated to the 1600s but is also not connected with the version mentioned in the Old Testament.
This is the book linked above.

The introduction to Pseudo-Jasher notes other attempts at a Book of Jasher by Zerahiah Ha-Yevani of the 13th century.
There is also known to have been one written by Rabbi Jacob ben Mier of the 12th century, and one by Rabbi Jonah ben Abraham of Gerona of the 14th century.
We are told of a work by that title from the Amoraim period (3rd to 6th centuries) that is characterized as containing 'for the most part sayings of the sages of the first and second centuries.'

Book of Jasher referenced in the Bible:

Also known as the "Book of the Upright One" in the Greek Septuagint and the "Book of the Just Ones" in the Latin Vulgate, the original Book of Jasher was probably a collection or compilation of ancient Hebrew songs and poems praising the heroes of Israel and their exploits in battle. The Book of Jasher is mentioned in Joshua 10:12-13 when the Lord stopped the sun in the middle of the day during the battle of Beth Horon. It is also mentioned in 2 Samuel 1:18-27 as containing the Song or Lament of the Bow, that mournful funeral song which David composed at the time of the death of Saul and Jonathan.
However, the original work of the Book of Jasher is apparently lost and is now only known through its two references in the Bible.