The best thing about rooting is the new apps you can get! When you open these apps they will "Request SuperUser Access". If you know what the app is then you should allow it. Below first is a screenshot of the request, then the apps you allow.
Below I have listed some great apps that every single root user should check out. They all have been tested and are safe ;)
Probably the number one reason most people root, this app allows you to tether on your phone without carrier chargers. Use your phone has a wi-fi hot spot!
This app allows you to see the entire file system of your device, root files and all. This is by far the best file manager.
This is not for every user, but it can be useful. You can use this app to overclock your processor. This means making a 1GHZ proc work at around 1.2GHZ for example. This can degrade battery life.
There a quite a few more apps for Root Users! Look at the list below to see if any interest you. If I forgot any, email me!
I hope I covered everything!