What are the names of these food dishes?
Yes, those are spears of green asparagus resting on some kind of dough, pastry or bread and, crucially, there is a hint of a yellow sauce that has been drizzled over the asparagus and come to rest between the asparagus and the underlying pastry/dough/bread. I am hazarding an informed guess that the sauce is a classic hollandaise sauce which is one of two or three ways of serving asparagus as a dish in itself. It maybe termed asparagus Benedict as in eggs Benedict. *The sauce is not made in an oven so I remain cautious. The layers on the left look like filo pastry. 

Larousse Gastronomique is the "bible" for these sort of things.