It's impossible to definitively say which temperate forest is the "most famous" as fame can be subjective and depend on different criteria. However, some of the most well-known and significant temperate forests include:

North America:

* Redwood National and State Parks, California: Famous for its towering coast redwoods, the tallest trees on Earth.

* Great Smoky Mountains National Park, North Carolina and Tennessee: Known for its diverse biodiversity and stunning scenery.

* Olympic National Park, Washington: Home to old-growth forests, towering trees, and unique ecosystems.

Europe:

* Black Forest, Germany: A legendary forest with a rich history and cultural significance.

* Białowieża Forest, Poland and Belarus: One of the last remaining primeval forests in Europe, a UNESCO World Heritage site.

* New Forest, England: An ancient forest with a unique ecosystem and a popular tourist destination.

Asia:

* Tōkai Forest, Japan: Known for its unique biodiversity and the famous Great Tōkai Forest Trail.

Other notable mentions:

* Amazon Rainforest: While not technically a temperate forest, its vast size and importance makes it a global landmark.

* Valdivian Temperate Rainforest, Chile: Known for its unique flora and fauna.

* Tongass National Forest, Alaska: The largest national forest in the U.S., with stunning scenery and a diverse ecosystem.

Ultimately, the "most famous" temperate forest depends on what criteria you're using to define fame. It could be based on size, biodiversity, cultural significance, or even popularity as a tourist destination.