What I would be looking for is a dictionary, printed or downloadable, containing the differences between British and US English and nothing else. For example, it would contain boot/trunk, but not “steering wheel”. I did find online dictionaries that can be switched between being British and US English, but nothing focused just on the differences.
PS. The British Council list is missing dived vs dove, for example (which would also need some more explanation). Or aluminium vs. aluminum. I have no idea what else it misses. I expect a dictionary to be reasonably complete.