Google’s educational apps and products are pretty much on the mark. I have enjoyed using their products and your idea could really extend their grasp on the market by providing useful and well thought out products. Taking Google Classroom and developing an LMS could be a good idea. It could be a tough go because of the market of LMSs but making an LMS with useful and easy to use feature (like the other google products) could make the New Google Classroom stand above the rest.