How to sort and filter?

That's not an easy task, since each single virtual server might run several possible different combinations of traffic profiles to modify traffic behavior. 

Network map tool should give you a pretty straight-forward look on the configuration. 

Other than that you might make a good use of the CLI to extract informations one at a time and report them in some sort of file. 
For example, first you list all profiles: " tmsh list ltm virtual all one-line | egrep --color 'ltm virtual|profiles' " , then you list all NAT's " tmsh list ltm virtual all one-line | egrep --color 'ltm virtual|source-address-translation' " , then you list all iRules ..