I possess the following document "Carta di Soggiorno di Familiare di Un Cittadino Dell'Unione" (Residence Card of a family member of a Union Citizen, Italy) issued by the Italian authority. My question is that I want to work in UK as I have applied for different jobs but the first question I get to asked is if I have working rights? Will I be requiring a work visa ?
I want to move there but just for the job. No, my parents will be staying in Italy but does my father's sister count as a family member too. She lives in UK and is a British national.
Your aunt does not count as a family member for the purposes of the free movement directive unless you are dependent on her or are a member of her household. I assume that you are not dependent on her, and it is evident that you are not a member of her household.
Since you want to work in the UK without being accompanied by an EEA national, you will need a regular work visa.
Your Italian residence card allows you to enter the UK without a visa only if you are accompanied by your EEA-national family member. To work in the UK, you would need a UK residence card, a certificate of application for a UK residence card, or a regular work visa. You won't be eligible for either of the first two because you will not be living with an EEA-national family member in the UK.