The German American club in Pawtucket has a monthly board game night, the second Thursday night of the month down in the Ratskeller. You don't need to be a member (or German) to come in for it. They serve inexpensive but good beer at the bar as well. It's focused on board games rather than role playing games, and it's a good chance to try out new games since typically someone there already knows how to play what they brought and is willing to teach.