A Bay-class successor with broader utility

What is likely to replace the Bay-class landing ships?

Probably an evolution or continuation of the Bay-class landing ship dock, with a broader general-purpose role.

The ship type in the question is corrected to landing ship dock, and its replacement would probably follow the existing Bay-class direction. A wholly different amphibious category is not proposed. Instead, the likely design would add broader general-purpose utility. The short answer points toward evolutionary replacement when a navy still needs the core dock and transport functions of the class being retired.