A shell script will be something like
install this package
create this file
change this line in a configuration file
While a playbook is like make sure this package is installed
make sure this file exists
make sure this line is like this in this config file
What happens if you want change something in your configuration script? In most cases you can't just replay a shell script, because it will try to do a lot of things that are already done and it is very hard to write idempotent commands.Ansible on the other hand only performs the tasks in the playbook that need to be performed: if the condition is already satisfied, there's nothing to do.
This is especially convenient if your script fails at some point: you can fix the directive and replay the playbook, and it will restart from where it left off. With shell scripts you have to do it manually (comment out the first part?), which is error-prone and time-consuming.