Yes, great word. I've never seen "game" as an anagram indictor before.
I have the first three Downs meshing perfectly with Across answers in the first two rows, but otherwise stuck. I'm guessing that the 10 and 11 downs are sort-of related by the symmetry (in physics, this is called a "broken symmetry"), so not in the central column.
Since my 10 letter is in column 3, the 11 letter should go in column 15, but I'm not sure. It clashes there with my hypothesised solution to the Olympia clue, which I can't parse anyway.
Off to a wedding now, I'll resume this evening, hoping for more hints.