There are large old growth forests in the Canadian boreal regions that are currently being destroyed by logging companies like Resolute. Since Canada has a strong government, Resolute can do things like file malicious lawsuits against non-profit organizations that are exposing this destruction:
https://www.theglobeandmail.com/report-on-business/industry-...
Brazil, in contrast, has a very libertarian government, so companies simply hire private hitmen to assassinate non-profit environmental group activists:
https://www.theguardian.com/environment/2017/jul/13/environm...
Almost all of the old growth forest in the United States was destroyed by capitalism prior to World War I. For an extremely depressing photographic account I recommend the book Kinsey, Photographer: A Half Century of Negatives by Darius and Tabitha May Kinsey. It is a photo book of hundreds of photographs of the Pacific Northwest's giant tree forests being destroyed. The scale of these trees is almost impossible to comprehend today (only a few scattered patches of Giant Sequoias remain in California), and most of them were cut down to be made into small siding and roof shingles.
There are a handful of old forest groves left on private lands, and there are a few land trust organizations trying to save them. For example, I donate to the Save the Redwoods League, and their big project now is acquiring Mailliard Ranch.