You can consider Satchel and Messenger bags listed in our shop for the purpose. All our 13 inch and bigger sizes come with padding in internal compartments for safe keeping of your laptop.
Before you choose the bag size, please note that laptop’s dimensions is always the diagonal screen size, which makes the laptop width a bit smaller. So a 15.6 inch laptop might actually be 14 – 15 inches wide so will fit comfortably into a 15 inch Satchel or a Messenger.
So the key is start with measuring the width, depth and thickness of your laptop, before you decide on the satchel/ messenger size. Don’t only consider the laptop screen size for making the purchase decision.