Across the street from RNZAF's and USAF's Antarctic launch bases in Christchurch is the Antarctic Center. I did'nt have super high hopes for it, but it was better than I thought and worth a good 3-4H in the end.
NZ is indeed not that far from the antarctic:
You could get a ride in Hagglung, the all terrain carriers they use there. They can handle quite rough terrain
Of course, they had penguins:
Another room was the cold/wind chill room:
Other misc stuff, including movies:
two kinds of planes to get there, 5 to 8H trip due to the lack of real jet runway on the ice