I think it is safe to assume that a POD as early as the Punic wars would render world unrecognizable from any modern perspective. It is probably even impossible to try and describe the modern world when you have a POD that far back. But it can also be really fun, as you are basically allowed to do anything. Even if it is just for the sake of cool.
The challenge (and the question) the is for you to describe (in a map or national info) what Europe would look like today (or in a time significantly past the POD) in the case of a Carthaginian victory during the Punic Wars. I think it is an interesting early POD as it can allow you to:
a) flip the role of Europe and North Africa.
b) create a new European-based empire/state to replace Rome (it can survive to present day or not).
c) butterfly away Christianity and Islam and maybe replacing them with new religions with their own issues, rivalries, and ways of spreading.
d) with a POD before the Migration Period you can mess up Europe's linguistic makeup as much as you wish.