Aw, poor Achilles! What's happening with him these days?
I imagine Athena is very fond of Herc, she played a big role in protecting him from Hera when he was a baby and guided him through a lot of his labours.
She doesn't have a particular attachment to the Trojans (she supported the Greeks during the war), but she'd have a decent amount of respect for Hector. She's the one who helps Achilles to kill Hector in the end, but she does it in a way that allows him to die as a hero (by tricking him into stopping running and convincing him to fight). Paris, though, she'd have no time for! XD
And Oedipus would be an interesting one! She never had any interaction with him in the myths, but he is known for his cleverness (well, among other things ahahaha), which is a quality Athena values highly. I think he'd be interesting to her.