Belliazzi completed one of the statues, of King Charles III of Spain, outside of the Royal Palace of Naples.
Belliazzi received his first training from Tommaso Solari in Naples, but followed the styles of Alfonso Balzico and Stanislao Lista. In 1872 in Milan, he exhibited a Springtime, which had genre characteristics and depicted Neapolitan peasants. In 1873 at Vienna he exhibited an expressive Orfanella.
Foreign other works, he earned a gold medal at the 1874 Esposizione of Florence.
At the 1877 Esposizione of Naples, he exhibited a Riposo del pastore and a group L"avvicinarsi della procella (Capodimonte Museum). At the 1880 Mostra of Turin, he exhibited a statuette titled Chicken Salesman.
At the Mostra nazionale of Milan and the promotrice of Naples, he exhibited a Rigido marzo. From 1895-1896 to 1912 he was professor of ornamental decoration at the Academy of Fine Arts of Naples.
He died in 1917 in Naples.