Updated List-
Australia:
Perth Zoo (1980)
Taronga Zoo (1984)
Melbourne Zoo (1986)
Adelaide Zoo (1992)
New Zealand:
Wellington Zoo (1950 approx)
Auckland Zoo (1995)
Beaumaris/Hobart Zoo in Australia also held Polar bears (as well as the last known living Thylacine). The zoo closed in 1937, so the bears would have left sometime before then. Here’s a picture of the remnants of their pit:

Curious Hobart: What happened to the Beaumaris zoo?
Here’s a photo of Wellington Zoo’s old Polar bear exhibit (1930):

Polar bear enclosure, Wellington Zoo | Items | National Library of New Zealand | National Library of New Zealand
Renovations saw Wellington Zoo’s old Malayan sun bear exhibit (1992-2012) built here; which is soon set to be remodelled for Snow leopard:
Disused Malayan Sun Bear Exhibit (2019)
- Zoofan15
- 1
This exhibit was used by Malayan sun bears, Bakti (1989-2001) and Chomel (1988-2009), from their...
Disused Malayan Sun Bear Exhibit (2019)
- Zoofan15
- 1
This exhibit was used by Malayan sun bears, Bakti (1989-2001) and Chomel (1988-2009), from their...