more than that; even more
Used to compare something to a previously mentioned thing, emphasizing a greater degree or quantity.
Yesterday's movie was interesting too, but today's was even better than that.
more importantly; rather than that; instead
Shifts the topic to a more important or relevant point, often dismissing the previous statement.
More importantly, you should go to the hospital right now.
Go see a movie? Rather than that, let's finish our homework first.