Residential
An entryway is a hall that is generally located at the front entrance of a house. An entryway often has a coat closet, and usually has linoleum or tile flooring rather than carpet, making it an easy-to-clean transition space between the outdoor and indoor areas. Many houses do not have an entryway; in these the front door leads to a foyer, or directly into the living room or some other room in the house.

Many suburban American houses have a mud room, a casual, generally secondary entryway intended as an area to remove and store footwear, outerwear, and wet clothing before entering the main house. As well as providing storage space, a mud room serves to increase the cleanliness of a house proper.

Commercial
A lobby is a room in a building used for entry from the outside. Sometimes referred to as a foyer, reception area or an entrance hall, it often is a large, room or complex of rooms (in a theatre, opera house, concert hall, showroom, cinema, etc.) adjacent to the auditorium. It is a repose area for spectators and place of venues, especially used before performance and during intermissions but also as a place of celebrations or festivities after performance.

Description sourced from Wikipedia. Image sourced from Wikipedia.