If I want to work in Austria, do I have the same rights as EU citizens if I have an Italian long-term resident card?
You do not have the same rights as EU citizens, but you do have a right to move to most other EU countries under certain conditions (excluding the UK, Ireland, and Denmark, so including Austria). This is laid out in directive 2003/109/EC. In Particular, it is covered in Chapter III, which contains articles 14 through 23.
