“Continue on” is redundant.
In all seriousness, although I DO think of Janine Kishi every time I hear “continue on,” there are so many random things I know that I first read about in the BSC. In the 200 or so books that comprise the series, there’s a lot of room for random facts, new vocabulary words, and grammar lessons. One of the real benefits of the books, I think, is that it encourages its readers to explore other books and to be interested in the world.
I think we also all learned a lot more about plots of various I Love Lucy episodes, although since my mom had it on every day before school when I was growing up, I had already seen all the episodes.
