IANAI and one will be along to correct me shortly I am sure, but my vague impression is you are going to have a hard time finding a one-to-one analogy in (traditional) Indian cuisine (I am sure in the big cities it is possible to find places of all variety).
When I ask Indian friends for restaurant recommendations in the U.K. or India, it will frequently happen that they don’t have much to offer because . . . they will spend two weeks eating at people’s houses. When I hear them talk about eating outside the house, it’s either in the context of really casual street food/chaat, or more formal/banquet/wedding food. Someone with more personal knowledge than me can check in to confirm/refute my suspicion that neither steam table buffets, nor a la carte sit down restaurants, were historically big dining paradigms in India.