Upvote:4
Auroras are sometimes visible in Australia, particularly in Tasmania; and Queensland has tropical rainforests.
Under rare circumstances, auroras have been seen within 10 degrees of the Equator. If we count such events, this would include many other countries with tropical rainforests as well. The above-linked event caused visible auroras in Mexico, Colombia (!), and presumably much of Central America. While it's not explicitly mentioned, it wouldn't surprise me if they were visible in Madagascar as well (given its relative proximity to the South Magnetic Pole.)
Upvote:6
You can frequently see the aurora in Alaska and you can visit the El Yunque National Forest, Puerto Rico both in the United States of America.