I don't like eyes which do peculiar things.
She dropped her eyes. I have a vision of her taking her eyes out of their sockets and dropping them. Why not write; She looked down.
His eyes darted. Where did they dart to/
She fixed her eyes on him. Did he appreciate her fixing her eyes on him. With what did she fix them?
His eyes stabbed her. Weird eyes, did he sharpen them?
Also, I'm not keen on body parts which do peculiar things.