Easy-peasy and lovely. Only problem is that not one of the names in the Ulysses group is unique to that play. They all appear centuries earlier, even if not all appear in Homer's stories. Just "Troy" or somesuch should be a possible solution too!

what Puzzled said

was going to make that exact point but a very enjoyable grid

Haha nice. Love this griiiiiiiid

Fairly quickly solved and understood but wonder if keywords are flexible enough for extra pts, I accept ‘moon’ and ‘president’ are v general but some could feel a tad cheated.