A post here For which families of graphs is Generalized Geography in $P$? mentioned that generalized geography on solid grid graphs is open. Is the question still open? A quick search on Google shows no results, but I wanted to see if anyone with more familiarity with the area can confirm.
Related to this question, I also wonder if Generalized Geography on grid graphs with holes or thin graphs are also open? What about on bipartite graphs, expander graphs...etc?