The notable artists on your television this week include: The Mighty Mighty Bosstones (Kimmel; 10/23), Brockhampton (Fallon; 10/23), Courtney Barnett (Meyers; 10/22), Florence + The Machine (Corden; 10/23), Snow Patrol (Corden; 10/24), and The Wombats (Daly; 10/22).