The Child’s Play series is one that started a with a serious tone, but over time embraced the more humorous side of itself. In this it shares a lot of similarities to the Evil Dead franchise, and much like Evil Dead it lends itself quite well to the idea of a television series.
Like Ash vs. Evil Dead, it could be a continuation of the films, focusing on what the possessed Chucky doll does between films, following him on his adventures. Hell, if Starz were to produce the series they could even do a Child’s Play/Evil Dead crossover episode or two.