I will start by recalling the AKSZ construction, which produces topological field theories in the case of closed manifolds. To obtain non-topological theories, we will then consider manifolds of the form M x I (sandwich), with a topological and a non-topological boundary condition imposed at the two respective ends. Different choices of the first condition will yield theories which are mutually dual. We will then show how to relate this sandwich model to a simpler one, with fields living on M, and discuss how to fit the electric-magnetic duality and the Poisson-Lie T-duality into this framework. The language used will be that of dg symplectic geometry, with a central role played by a "baby version" of the derived intersection of Lagrangian submanifolds.