Franz Josef Glacier doesn't let you hike on it anymore, I hear, but it's worth a look. Might be worth checking if Fox Glacier is still accessible.
We were there in Jan and there was hiking on FJ weather dependent.
The service at FJ was pretty sh!t though. I would strongly recommend arranging it at Fox.
Had booked on FJ but it was off due to weather. let us know at the last moment even though it was obvious we wouldn't be doing it. Absolutely no interest in trying to reschedule next day.
Fox let people know it wouldn't be happening earlier and tried very hard to reschedule eveyone. Even tried for us once they had looked after those already booked with Fox even though we were essentially walk ups.
Mt Cook is pretty cool. I loved the dark sky park but we had a perfect night.
May get shouted down but thought Ferg Burger in Queenstown was way overated.