Seems like spoken word performance / story telling is all the rage in these parts.
I attended the inaugural "The Mouth" at the Mark Twain House this past month; anything carrying Chion Wolf's imprimateur has got to be good. (and it was....) You can keep up with "The Mouth" on Facebook.
A quick web search also uncovered The Connecticut Storytelling Center, which hosts an annual Connecticut Story Telling Festival at Connecticut College, April 26-27.
In addition, there's a weekly Urban Storytellers series at MCC on Main, Manchester. This is a great space (and not just because my beloved Guinea Pigs have a gig coming up, March 22.
And a last minute addition, the ongoing Other People's Stories series, held irregularly at La Paloma Sabanera in Hartford.
Finally, the twitter reveals a new series, Speak Up, to be held at Real Art Ways. The inaugural date for this event is Saturday. May 4, at 7:00 pm.
I'm a big fan of The Moth and Snap Judgement - so hopefully these things will do well. The quality of stories told at The Mouth was just steller, IMHO, so hopefully that is a harbinger of some good talent in the area.