When Oxygen, the television network for women, rebranded itself as a true crime channel last year, it leaned into TV’s time-tested approach: a focus on gruesome and mysterious killings, disproportionately involving white female victims and sensationalized by self-serious narrators. But Oxygen also began experimenting with a new way to cover those crimes. It started a comedy podcast, “Martinis & Murder,” in which the two hosts get tipsy on homicide-themed cocktails, audibly squirm over the gory details, make catty judgments about the suspects’ life choices and use particulars of the crimes as setups for sarcastic jokes. Here’s a sampling of dialogue...