Ditto southern department store sections devoted to this look.

Though Ann Taylor suiting is typically " business" , there are often some offered in fabrics and colors that are more day- lunch look to me, with some short round collar jackets.
Sometimes the top & bottom are featured so separately in the New Arrivals that at first I don't realize they are available as a matching suit. Sometimes the color is rather neutral but often a soft neutral and the fabric and style are so much less corporate that it would be easy to punch up to a church suit look.

Those dresses or suits with duster length jackets used to be called costumes. I imagine not a very searchable term nowadays.