For description and history of Adventures/Modules see Adventure ( D&D).
For a list of published 3rd, 4th, and 5th Edition Adventures see List of Dungeons & Dragons adventures. For 3rd Edition and beyond new publisher Wizards of the Coast uses the term adventure. The term is usually applied to adventures published for all Dungeons & Dragons games before 3rd Edition.
A module in Dungeons & Dragons is an adventure published by TSR.