Does anybody know if alpieagles airline stop flying from Venice to Nice? I went to their website and the only place they fly from Nice is to Naples. Thanks

Take a look at their timetable. They fly from Nice to Venice and several other Italian cities:
http://www.alpieagles.com/orari.aspx?lang=en

I did look at their timetable but when it comes down to making a reservation, they only showed "Napoli" in their "arrival airport".

Oops... I meant if you put down "Nizza" in their "departure airport", it will only put "Napoli" in their "arrival airport".

Oh - I see what you mean.
I don't know if this will help, because it's still out of your way, but Skyscanner.net says that BluExpress flies from Nice to Rome.

Also, I've read that www.alitalia.it (if you select Italy as your country and don't go to your local site) sometimes has fares competitive with the budget carriers.