Savage Groove. Bonesaw. Broadway Fevers. Right Most Of The Time. Blood In The Water. South Street Irregulars. 4. Use a team name generator. If you have a difficult time figuring out all this, you can just visit a team name generator and find some good clever band names there in a matter of seconds. Band Name Generator – What Should You Name Your Band. Band names are the bait, the clicker, the first x-factor in any established band. Look at Maroon 5 or Imagine Dragons and other contemporary bands. Their band names have personal narratives, an identity, a group reflection of some sort. Your music is good and your style, vibe and overall.