What barbarian tribes invaded the territory of the Roman state?

In the 4-5th century, the territory of the Roman Empire was invaded by: Goths, Gauls, Franks, Allans, Vandals, Huns and other barbarian tribes. The Goths and Huns were the most problematic. The Goths, pressed by the Huns, were forced to move west at the end of the 4th century. Thus, they became a significant threat to the Western Roman Empire. In 410, the Goths even manage to take Rome. Then the city was badly destroyed and plundered. Then the Goths occupy the lands of Aquitaine, which is in southern France.