Social emotional skills are foundational competencies upon which children draw throughout their lives. This work investigates current, commercially available experiences for social emotional learning (SEL) through conversational agents (CAs). Specifically, we reviewed 3,767 Skills available in the "Kids" category of the Alexa Skills Marketplace and found 42 working Skills with connections to SEL. We found that the most common scenarios these Skills sought to support were: active listening, emotional wellbeing, conversation with other people, and politeness. The interaction patterns used by these Skills distilled into a taxonomy of styles we labeled: The Delegator, The Lecturer, The Bulldozer, and The One-Track Mind. We found that, collectively, these Skills provide shallow experiences and lack contingent feedback. To examine the gap between current offerings and families' needs, we also conducted 26 interviews with parents to probe parents' ideas about CAs supporting children's SEL. Parents see potential for CAs to support children in four concrete ways, including attuning to others, cultivating curiosity, reinforcing politeness, and developing emotional awareness. Despite their optimism about these opportunities, parents expressed skepticism about CAs' impoverished conversational abilities and worry about CAs advancing values and behavioral norms that are at odds with their own.