* An "achievement list" implies a higher achievement if the list itself is a record of significant accomplishments. For example, a list of scientific publications, patents held, or awards won would be considered a higher achievement than a simple grocery list.
* A "list" could be a higher achievement if it represents a significant undertaking or accomplishment within a specific field. For instance, a meticulously compiled and highly accurate list of all known bird species could be a monumental achievement in ornithology. Similarly, a comprehensive list of all the works of a specific author might be considered a significant contribution to literary scholarship.
In short, the "higher achievement" depends on *what* is on the list, not the word "list" itself.