Apart from these countries, is there any other one where you can see the auroras and at the same time go to a tropical forest in their territory?

Question

Of course, I am including all the overseas territories of these countries: UK, France, The Netherlands, Australia and New Zealand.

In all of the countries I previously mentioned, there is at least one part of the territory containing a tropical rainforest or a jungle (e.g France's French Guiana or Netherland's Saba Island) and in another part of the territory you can see either the aurora borealis or the aurora australis even if it is somewhat rare (e.g again, in the case of France, the Kerguelen Islands and in the case of The Netherlands the northern part of the Frisian Islands).

Are there any more countries in the world with similar characteristics?

From the answers: USA.

Answer 1

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.

Answer 2

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.)