S.B.
Hi - A little late to the party but figured I'd add my 2 cents... 2 new inside play centers just opened recently; KidzWurld in North Attleboro (off exit 5 and to the right)and Johnston Learn & Play Center. I have heard nothing but good things about KidzWurld; clean, fun, geared for 5 and under which is awesome, and a great mom perk - they serve coffee!! I took my 23 month old to Johnston - clean area and fun toys; pricing is a little crazy and we were the only ones there for the first 30 minutes. Another place I love to take my son in the colder weather is the Federal Hill House in Providence; definitely a "don't judge a book by it's cover" location.
I run a Mom and Toddler group on Meetup (Toddling with Mom). We are always looking for new places to try. Some others around the area are Easton Children's Museum, Barnes and Noble in Smithfield, and some of the local toy shops (Learn All About It, Warwick and Sparks in Smithfield).