Becoming a basilica allows the church to add sacred images, as well as the papal coat of arms, to its art work, said Bishop Curtis Guillory of the Beaumont Catholic Diocese. It also gives the cathedral the responsibility of celebrating with greater solemnity certain church feast days such as the Feast of Saints Peter and Paul.
Source: WOAI San Antonio News
In a minor Basilica you will find the Ombrellino and the Tintinnabulum. I have only visited one basilica so far, the Basilica of the Immaculate Conception in Missouri, and they also had those two symbols.