I prefer the term “Atlantic Archipelago”. The “British Isles” encompassing a non-british sovereign state is contentious. Other good terms are “Britain and Ireland” or the “British-Irish isles”

Yeah, "Britain and Ireland" is straightforward. "Atlantic Archipelago" makes me think you mean the Canary Islands.

Now switched to "Britain + Ireland," thanks!

"British Isles" is the commonly-accepted term, and it doesn't seem to be particularly contentious outside of Ireland. As https://en.wikipedia.org/wiki/British_Isles notes:

> As a term, "British Isles" is a geographical name and not a political unit.