Hi OP, in my days as a Lutheran I used to read these because the Lutheran body never closed the cannon and our lectionary (Revised Common Lectionary) included them in the readings.
All of these books were in the Septuagint, which is the oldest Old Testament texts we have (Older than the Masoronic texts). All of the New Testament writers quoted from the Septuagint. And many, though not quoted directly, had ideas and texts that were referenced in the NT. Many early protestant bibles, including the 1611 KJV and Geneva Bible included the cross-references to these books in the New Testament chapters. These books were also included in the Latin Vulgate, which was the first "official cannon" of the (at the time universally united) church. For some reason the Jews decided 100 years after Jesus to remove them from their cannon and replace them with the Talmud, in an effort to distance themselves from Christianity.
Many believe Martin Luther removed these books, but that's a lie. Since I studied Martin Luther a lot as a Lutheran, I learned that he just moved them to the back of his bible, because he felt they "weren't inspired." BUT he also felt Hebrews, James, Revelation, etc weren't inspired. And he still included all these in his bible (though literally all of them were at the end).
As a Lutheran, I did extensive research on "who was it that actually removed the books?" "Who made the call that they weren't cannon?" After all, they were in the earliest protestant bibles - Luther's bible, the KJV, et all. And what I discovered was that book publishers were printing bibles with these books listed in the table of contents, but the books weren't actually printed.
>So why did they disappear?
It wasn't a council, or even a reformer, to cause this. IT WAS PUBLISHERS AT A PUBLISHING COMPANY THAT REMOVED THE BOOKS.
The official, united church confirmed these books as cannon at the council of Trent. Later on, the Westminister and other confessions started attesting the "true bible" didn't have these books. But it was usually because, as was the case with Martin Luther, they could not defend their theology strictly within "Sola Scriptura" if these books were cannon.
This discovery was one of the biggest reasons that I became Catholic. I would often here Protestants say "GOD PROMISED TO PRESERVE HIS WORD" - well why are these scriptures preserved for 2 billion people, and preserved as scripture throughout the early church before the reformation, if they are not his word? Why did God preserve a fake bible for so long with "non inspired" books?
Anyway, my intention wasn't to convert you or dismiss your tradition (which is a wonderful one, I appreciate Wesley and his well spirited works) but to explain my extensive research on this and what I discovered.
>So what's in them, how are they?
Tobit and Judith are the same genre (literary) as Esther and read the same way. They're fun stories. The Catholic church doesn't take them as literal (as the same with Esther) but as good stories inspired by God and illustrating his love for us.
Wisdom and Sirach/Ben Sira are in the same genre and style as Proverbs, Eclessiasties and the other Wisdom books. Sirach in particular is my favorite of these, it's an absolute wealth of Solemon-style proverbs but is really, really long.
1 and 2nd Maccabees are awesome historical books, exciting war-and-conquest and similar to Joshua and Judges. 2 Maccabees in particular has incredibly exciting theology. You see the saints in heaven (Jeremiah) praying for the living. You see prayers for the dead (which is why Jews were doing it in the age of Jesus, and why Catholics do it). You see purgatory. So yeah, that's why you're encouraged "not to take it as cannon."
Bottom line: these books can inspire you to live a good Christian life, and help you witness to others, and help encourage others still. They inspired many Christians and saints of thousands of years and helped many conversions. Thus, if they're not in your bible, you don't have a complete bible.