Here are the most common:
* Trade Fair/Exhibition: This is the most common meaning of "Messe" in modern German. It refers to a large-scale event where businesses and organizations showcase their products, services, and innovations. For example, "Die Automesse in Frankfurt" would be the Frankfurt Motor Show.
* Mass (religious service): "Messe" can also mean "Mass" in a religious context, specifically the Roman Catholic Mass. It's less common in everyday language but can be used in formal contexts.
* Measure: In some contexts, "Messe" can also refer to a "measure", like "a measure of flour" (ein Maß Mehl). This is a less common usage.
To understand the meaning of "Messe" in a particular context, consider the surrounding words and the overall topic being discussed.