Speaking for Baptists: we generally do NOT read significant portions of scripture during the service. The SBC Sunday School curriculum covers the entire Bible, although no one is required to use it.
Every Baptist church I’ve ever been in - including the KJV-only one that I walked out of mid-sermon - encouraged reading the Bible. Most encourage reading it daily...I couldn’t count the sermons I’ve heard supporting that, possibly because so few do. For myself, I currently do NOT read the entire Bible on a regular basis, although I have a number of times. I may start up again...and there are one and two year Bibles available for easy use - one example:
We do NOT exclude the Old Testament, although I’m sure many (as I suspect Catholics do as well) concentrate more on the histories and Isaiah than, say, Leviticus! And yes, I skip the genealogies as well...
Before moving to a Systematic Theology text, the last books our Sunday School class looked at were Isaiah, Micah, Galatians and James (took about 6 months).
Thanks for your thoughtful response. In my experience, the portions of the Bible which were read in protestant churches pertained to the sermon, in many cases a parable of Christ, or a reading from the Pauline Epistles.
I read the entire Bible initially out of curiosity. Even the first five books, for the laws—fascinating, especially getting mold out of houses, that sort of thing. I just found it interesting.
Then, the history, the prophets, and the stunningly beautiful Psalms; Wisdom, Song of Solomon—the OT is an amazing collection of wonderful books.
The Gospels converted me. The Acts, and the letters of the apostles were great. Revelations is still incomprehensible, in large part, as far as I am concerned, although I’ve read it several times.
A short, sincere prayer before reading, that the Lord will speak to me is indispensable. And it doesn’t matter how much I read it, or how often, there is still the unexpressible mystery of The Word of the Lord. So I can’t say I understand it, just that it does take root in my soul.