Final answer:
The Animals followed the Beatles' success in the U.S. with their hit 'The House of the Rising Sun', becoming part of the famed British Invasion of the 1960s.
Step-by-step explanation:
The British band that almost immediately followed the Beatles' record of success in the U.S. with their hit song, 'The House of the Rising Sun', is The Animals. They were part of the British Invasion that brought a multitude of U.K. bands to American shores in the 1960s. Following the surge of Beatles' popularity, The Animals made their own mark on the American music scene with their distinct sound and the deep, gritty vocals of their lead singer, Eric Burdon. Their most iconic track, 'The House of the Rising Sun', was a number one hit in the U.S. and reliably contributed to the diverse tapestry of the British Invasion. While bands such as The Rolling Stones, The Kinks, The Who, and The Yardbirds also gained fame in the U.S., The Animals' particular single stands out for its immediate impact following the Beatles' initial wave of success.