The only Sunday one is in Tiverton. It has some cool vendors so worth a visit sometime.

Providence Flea (Sundays and sometimes Fridays) is fun but no farms. Nice mix of artists, vintage and other food businesses.

The Farm Fresh one on Saturdays is super competitive to get into so that's THE farmers market. Only downsides: it can get really crowded + there are some big businesses in there masquerading as small operations. i.e. Great Harvest Baking Co is a franchise and Seven Stars is HUGE now so I buy my bread from Provençal

If you can free up a Wednesday night, the Pawtucket Indoor Farmers Market is small but mighty. There's a microgreens vendor that cuts microgreens to order so you can build a custom blend. Born From Pain is usually there. Gluten-friendly baked goods that are phenomenal. Really good mushrooms from friendly folks. I even got empanadas last week from The Perfect Empanada that were really good.

Many of the shops open too (including PVDPies) and there are some fun non-food vendors too like Spoon & Board and a vintage dealer.