If you don't mind going down to Rhode Island for the Newport Mansion tours, the Breakers is open I believe (the other mansions might be closed, but if you haven't been then the Breakers is the one you want to see anyway). While down there you can hit up some seafood shacks or something.

MFA?

Some other Rhode Island / Providence ideas:

A photo at the Brown University gates (College/Prospect) and another at the state capitol

Seven Stars Bakery for coffee

Al Forno’s (best pizza honors and award from the Italian government)

Greg’s Deli lunch

A quick stop to see the interior of the Atheneum

PV Donuts (1 each Masala, Passion Fruit, and Boston Cream)

Walk down Benefit Street

Check out the mural on Friendship Street

Theater at Trinity

Take out from Pastiche

Ice skating down town open air rink

Pizza on Federal Hill, deep dish Sicilia’s

Day trip loop to Coffee Depot in Warren, DeWolfe Tavern in Bristol, Ocean Ave scenic drive in Newport (you can park at LaSalle to walk the cliff walk if weather permits), Thames Street cobblestones in Newport, Beavertail in Jamestown, and a stop in Wickford.

Add pizza strips, coffee syrup, Del’s, chowdah, and New York System for the win.

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Source-Al Forno:

https://www.usatoday.com/story/travel/destinations/2013/11/30/best-pizza-in-america/3785309/

And Gardiner.

Breakers might still be decorated for the holidays too, which is usually impressive. My parents took a friend there after Christmas and it was still all decked out. Not sure how long they keep it that way.

You can rent guns and shoot them at On Target in Dracut. It's indoors.

The Talbots outlet in Hingham.

Hiking at World's End. Also check out other Trustees properties.