I'm not sure if by "non-table service" you mean counter service or snacks - so I'll post both!
Top 3 counter service foods:
Tabouleh from Tangierine Cafe in Epcot
Anchors Aweigh tuna sandwich from Columbia Harbor House in MK
Vegetable Platter from Sunshine Seasons in Epcot
Top 3 snacks:
raspberry shuss from the bakery in France in Epcot
churros from anywhere in WDW
frozen raspberry lemonade from Adventureland in MK
What is your favorite item from the bakery in France in Epcot?