Our parish offers several Bible studies taught by wonderful laypeople who have been trained in the diocesan “Ministry Formation” program.
There is also a city-wide Catholic Bible Fellowship for women and another one for men, but these are sparsely attended during the evening. The daytime one for women has about 90 people, from what I understand, and the program includes a teaching time for children, too.
Some of you mention just wanting to study the BIble with another Catholic. I don’t know if this would need the “official stamp of approval” by the priest, but why not just ask a friend or an acquaintance if they would like to join you for a time of Bible study, buy one of the Scott Hahn or other trustworthy Catholic Bible studies at your local Catholic bookstore or online, and then get together at your homes once a week or every other week and go for it?
This is a really nice way to study the Bible, and creates a bond between you and a friend or a few friends. A Bible study doesn’t have to be a great big meeting.
My only precaution is to make sure to use a Catholic Bible study, and don’t do the “facilitator” thing where everyone just “opens up and shares what this passage of Scripture means to them.” Waste of time.
I was evangelical Protestant for over 40 years, and I will let you in on a deep, dark little secret–there are a whole lot of Protestant Bible studies that only attract a few people, even if the church has hundreds of members. Unless it’s one of the “cool” Bible studies led by a gifted speaker (who’s probably selling books), most people don’t take the time to attend a Bible study. Wednesday night Bible studies at many Protestant churches are lucky to get a half-dozen people, and they are mainly the old people who already know all the stuff that the leader discusses!
In fact, in our last Protestant church, an Evangelical Free Church, my older daughter, who was on the Leadership Committee in her Senior High youth group, got tired of the weekly youth meetings about movies, music, sex, and dating. She asked the Youth Pastor if they could have a “Bible study.”
He told her that no one would come if they did a Bible study in Youth Group.

Honest!
So Protestant Bible studies are not exactly crowded these days.