I'd say it's about the same. Malzahn didn't use a playbook with either... they used flash cards to signal in the same 4 or 5 plays depending on where they were on the field, they'd just change the formation.
Malzahn ran a faster paced no huddle. His goal is to run as many plays as possible in a game (usually 80 plays was the least Malzahn would be satisfied with).
Malzahn's running game was a little more "power" based (Pulling guard, double team at the point of attack, etc.) and used Lutzenkirchen as an H-back to get the kick-out or pin-and-pull on the backside DE.
Briles offense is more finesse, as he uses mostly 10 or 11 personnel.
The passing games are very similar in simplicity, but different concepts. Cam threw more NFL routes in Malzahn's offense. They ran more outs and deep crossing routes.
I mean, Cam couldn't even call a play when Jon Gruden asked him to call a play that he would run at Auburn. Obviously that didn't mean much....
He called a play...he said 38...38 is a play, lol.