What are problems AI still can not solve?

Presumably you're looking for problems with a written output to facilitate comparison with humans, like in a Turing test. How about the problem of getting a good mark in an English Language GCSE exam: an exam taken by nearly all 16-year-olds in the UK. This is, of course, a non-trivial problem for many intelligent humans, including some who go on to get good degrees in unrelated subjects.

Because so many of these papers are getting marked every year someone might be able to get permission to mix in a few machine-generated responses, as an experiment. Or perhaps not, because it would perhaps be a bit embarrassing if the examiners gave good marks to GPT-generated crap.

If you can define a problem, you can probably find a way to build a ML model that can solve it with enough examples. It's the problem definition that it can't do.

Also, I have seen some research e.g. on telling whether things are the same or different in an image. Like draw two arbitrary shapes side by side and build a same / different classifier. Last I heard, it doesn't extrapolate to new shapes, i.e. it is not actually learning "sameness".

All of them? I'd be sincerely interested in a list of problems AI has solved concretely.

Write a new "original" 250 words article to explain the meaning of: “What Does a Monkey know of the taste of Ginger?”

Understanding bad jokes like my life. Poor Blaine the Monorail.