Among the Baronies that belonged to the Acquaviva were Basciano, Bisenti, Cermignano, Corropoli, Castel del Monte, Castrogerardo, Cellino, Colonnella, Forcella, Montesilvano, Montefusco, Montone, Montemaiella, Montebello, Montepagano, Raiano, Rapino, Ripattone, Rocca Santa Maria, Roseto, Sant'Omero, Rocchetta, Sant'Egidio, San Vito, Tortoreto, Scorrano. Among the Countdoms Capestrano, Conversano, Giulianova, Montorio (1383), Palena (1467). Among the Dukedoms the most important was Atri (1383), among the Principalities Caserta (1579) and Teramo (1484).
There were many great men in the Acquaviva family. Rinaldo, the ancestor of them all, obtained special grants from Arrigo V, who defeated the Normans and became king of Sicily. Antonio was Chamberlain of King Carlo III and Giustiziere (a kind of Governor) of Abruzzo. In 1390, when Louis II of Angjou (a French king) landed in Naples to fight Ladislaw II, the son to Charles III, he took advantage of the war to get into Teramo and conquered the city and its territory, including the Dukedom of Atri, killing its lord Antonello della Valle. Andrea Matteo III, who died in 1529, was a protector of artists and a writer and took part to the war between the Aragonese and the French. Claudio, (Atri 1543, Rome 1615) was a Jesuit General. Rodolfo, (Atri 1559, Cuncolim, India 1583), a nephew to Claudio, was a missionary and a Jesuit martyr in India. At the head of a mission on the Isle of Salsete, near Goa, he was slaughtered by four natives. Pope Leo 13th made him a Blessed in 1893.