[7][8][9] On opening day, the shop offered free ice cream scoops to children.

[10] Molly Moon's built small parks outside shops in Wallingford and Madrona in 2014, as part of Seattle's pilot parklet program.

[11] In 2014, the company was sued for alleged improper disposal of dairy waste; tailors neighboring the Queen Anne location claimed that the waste pooled and rotted in the crawlspace under their shop, causing an overpowering smell that sickened one of the owners and forced them to stop taking some work.

[17] In 2020, following the removal of the Capitol Hill Occupied Protest, the Capitol Hill location attracted national news attention for posting a sign asking armed police officers not to enter the shop, including them under its "gun free zone" policy.

[18][19][20] In 2023, the business announced plans to operate in the Washington Street Public Boat Landing Facility, near the Colman Dock along the Waterfront.