Forest (31 whs)
http://www.worldheritagesite.org/categories/category5.html

Atlantic Forest South-East
Blue and John Crow Mountains
Calakmul
Central Highlands
Central Sikhote-Alin
Central Suriname Nature Reserve
Discovery Coast
Dja Faunal Reserve
Dong Phayayen
Garajonay
Gondwana Rainforests
Great Smoky Mountains
Guanacaste
Jiuzhaigou Valley
Kahuzi-Biega National Park
Laurisilva of Madeira
Manu National Park
Morne Trois Pitons
Mount Nimba
Mount Wuyi
Primeval Beech Forests
Rainforests of the Atsinanana
Redwood
Rio Abiseo National Park
Salonga National Park
Sangha Trinational
Shirakami-Sanchi
Sinharaja Forest
Taï National Park
Talamanca Range-La Amistad Reserves
Tasmanian Wilderness
Thungyai-Huai Kha Khaeng
Tropical Rainforest Sumatra
Ujung Kulon National Park
Virgin Komi Forests
Wet Tropics of Queensland
Yakushima
Yellowstone

My selection:

Sangha Trinational (great sample of African forest; transnational)
Yellowstone (mostly for volcano though)
Redwood (maybe; for its gigantic trees)
Laurisilva of Madeira (great example of what Europe's forest looked like; I haven't visited Garajonay but it seems to have suffered extensive damage from fires and climate change; often not misty anymore)
Dja Faunal Reserve (maybe)
Gondwana Rainforests (Oceania)
Tropical Rainforest Sumatra (maybe; I'd prefer to choose other examples on the Indian subcontinent and China that are also mountainous areas or have unique fauna)

My selection:

Atlantic Forest South-East - A major and highly threatened biodiversity hotspot
Blue and John Crow Mountains - to represent the Caribbean
Central Suriname Nature Reserve - a well maintained representation of Amazonian forest
Dong Phayayen - For SE Asia
Mount Nimba - great example from West Africa
Rainforests of the Atsinanana - for biodiversity
Redwood - for scenery
Sangha Trinational - for the Congo Basin
Shirakami-Sanchi - for Japan
Talamanca-La Amistad - for Mesoamerica
Tasmanian Wilderness - a lot of endemisms
Tropical Rainforest Sumatra - a major and highly threatened biodiversity hotspot
Ujung Kulon National Park - for Borneo
Wet Tropics of Queensland - for Australia

My selection

Jiuzhaigou Valley - outstanding landscape n scenery
Redwood - the most reserved old big tree
Tropical Rainforest Sumatra - all the mountainous arrays along Sumatra island, Indonesia
Ujung Kulon National Park - rhinoceros conservancy in Java, Indonesia

This category is very hard to choose between forest with many biodiversity, type of trees and forest inscribe of single species of tree, but if I have to choose, I will go with
- Redwood for giant redwood trees, very unique.
- Tropical Rainforest Sumatra, for Orangutans!

I did not choose South American forest because Amazon and Iguacu will represent this continent very well.

My selection

Jiuzhaigou Valley - outstanding landscape n scenery
Sangha Trinational (great sample of African forest)
Redwood (for its gigantic trees)
Tropical Rainforest Sumatra
Rainforests of the Atsinanana
Wet Tropics of Queensland (Oceania)

Here we come to the discussion I had with Solivagant again. Is this fair to say that the largest forested area (Amazon basin) be represented by a single WHS only. We have multiple representations of so many cultures and styles (several Maya, several Gothic, several Egyptian - in fact even several Pueblo sites!). Why should we then say South America could be represented by two forest sites alone?

Not exactly my specialty this, but we can save a fair number of them (as per the under-representation of natural sites in general).

Trying for a geographical spread again, and also choosing "added value" (some rare fauna species thrown in for example):

Europe: Laurisilva of Madeira (best example of relict laurel forest, also representing the biodiversity of Macaronesia)

Asia: Central Sikhote-Alin (for northern taiga & endangered Amur tiger), Jiuzhaigou (for its scenic beauty and a giant panda or two), Tropical Rainforest Sumatra (for the protection of flora and fauna species of Sumatra)

Australia: Tasmanian Wilderness (for its size and representing Australian species)

Africa: Salonga NP (Africa's biggest tropical rainforest reserve, home to the bonobo), Rainforests of the Atsinanana (representing the unique Malagasy flora), Tai NP (one of the last areas of primary tropical forest in West Africa, plus known for its chimps using tools)

North America: Redwood (for its iconic giant trees)

South America: Manu NP (a personal favourite as I have visited it for a few days, pretty inaccessible park, has one of highest levels of biodiversity of any park in the world, known for its variety of plant and bird species), Central Suriname Nature Reserve ("reserve is one of the very few undisturbed forest areas in the Amazonian region with no inhabitants and no human use")

NB: I skipped Yellowstone because it is already in on the A-list

Summarizing this one. Can use some more opinions. at 31 sites it's quite huge:

Atlantic Forest South-East
Blue and John Crow Mountains
Calakmul
Central Highlands
Central Sikhote-Alin
Central Suriname Nature Reserve - a well maintained representation of Amazonian forest - 2
Discovery Coast
Dja Faunal Reserve
Dong Phayayen
Garajonay
Gondwana Rainforests
Great Smoky Mountains
Guanacaste
Jiuzhaigou Valley - for its scenic beauty - 3
Kahuzi-Biega National Park
Laurisilva of Madeira - best example of relict laurel forest, also representing the biodiversity of Macaronesia - 2
Manu National Park
Morne Trois Pitons
Mount Nimba
Mount Wuyi
Primeval Beech Forests
Rainforests of the Atsinanana - representing the unique Malagasy flora - 3
Redwood - for its gigantic trees - 5,5
Rio Abiseo National Park
Salonga National Park
Sangha Trinational - for the Congo basin - 3
Shirakami-Sanchi
Sinharaja Forest
Taï National Park
Talamanca Range-La Amistad Reserves
Tasmanian Wilderness - for its size and representing Australian species - 2
Thungyai-Huai Kha Khaeng
Tropical Rainforest Sumatra - for the protection of flora and fauna species of Sumatra - 6
Ujung Kulon National Park - for Borneo - 2
Virgin Komi Forests
Wet Tropics of Queensland - representing Australia - 2
Yakushima
Yellowstone - already in on different category

Can we move Jiuzhaigou, Atsinanana and Sangha Trinational in selected list. They got 50% vote. Moreover 5 out of 31 (one-sixth) makes more sense , especially in Natural WHS category.

I would also be happy to see more natural sites on the YES list, but I don't consider this measure as fair. For all the other categories we looked for a larger majority (70-100%). If we change it here we would need to change it everywhere, or at least in all underrepresented categories. This would open a Pandora box.

Somehow I missed this Natural category. Here are ones I'd vote for (keeping in mind that for me some of these are pulling double-duty as representative sites for flora or fauna around the world):

1. Dja Faunal Reserve -- rainforest in west-central Africa which includes wildlife like the western lowland gorilla and the forest elephant
2. Rainforests of the Atsinanana -- highlights wildlife endemic to Madagascar, including lemurs
3. Dong Phayayen -- Southeast Asian forest home to elephants, tigers, leopard cats, and the Siamese crocodile
4. Tropical Rainforest Sumatra -- Indonesian rainforest which is home to the Sumatran orangutan, rhinoceros, elephants, tigers, and Malayan sun-bears
5. Jiuzhaigou Valley - old growth forests in central China
6. Central Sikhote Alin -- covers a temperate zone from taiga to subtropics in eastern Asia, and is home to the Siberian tiger and Himalayan bear
7. Yakushima -- warm temperate forest home to the Japanese cedar
8. Gondwana Rainforests -- rainforests in eastern Australia which are home to a variety of marsupials, including kangaroos, koala, and platypus
9. Tasmanian Wilderness -- temperate Australian wilderness with variety of marsupials
10. Great Smoky Mountains National Park (Natural Landscape, Forest category) -- highlights wildlife from the Appalachian Mountains of eastern North America, including black bears, red foxes, white-tailed deer, raccoons, and a variety of salamanders
11. Redwood -- iconic giant trees on the west coast of North America
12. Belovezhskaya Pushcha / Bialowieza Forest (how exactly isn't this in the Forest category?!?) -- woodland in north-central Europe, home to wolves, European bison, lynx, and otters
13. Laurisilva of Madeira -- largest surviving area of laurel forest

I have no choice for South America on this list since I'd vote for the Brazilian Atlantic Islands (Marine/Coastal category), Noel Kempff Mercado National Park (Diverse Ecosystems category), and Huascaran National Park (Mountains category).

Jiuzhaigou, Atsinanana Got one more vote. It makes nearly 60%. We have many sites made into yes list with 60%. Should we include these two?

I know I am late. But, I really wanted more representation of natural category.

No, we don't. If we find any they should be downgraded.
I agree with you that we have more natural sites, but this should be done later, maybe when thinking about the underrepresented categories. Then it should be applied to all underrepresented categories equally.