The term 'run the show' is an idiom that means to be in charge of something. The crossword solutions for this term include HOST (4 letters), LEAD (4 letters), DIRECT (6 letters), RULE (4 letters), AIR (3 letters), EMCEE (5 letters), BOSS (4 letters), REIGN (5 letters), EMCEES (6 letters), takecharge (10 letters), and stagemanage (11 letters). These words all refer to different roles that involve being in charge or having authority over something. HOST, LEAD, DIRECT, RULE, and BOSS all refer to positions of leadership, while AIR, EMCEE, and EMCEES refer to roles in broadcasting or entertainment. REIGN and takecharge are more general terms that refer to having control or authority over something, while stagemanage refers to the role of managing a theatrical production.