Florence + The Machine (recording as Florence And The Machine) is the name of Florence Welch and a collaboration of other artists who provide backing music for her voice. Florence is an art college dropout from Camberwell, London, who was discovered singing Motown covers in a nightclub toilet, drunk. Musically Florence and the Machine's sound is generally referred to as soul-inspired indie rock.
These are videos from concerts where Florence and the Machine played, so they may be of other bands that played the concert as well.