Summary:

Dazu
Fujisan
Great Burkhan Khaldun
Huangshan
Itsukushima
Jongmyo
Kii
Lushan
Qingcheng and Dujiangyan
Taishan
Wuyi
Niko
Osun-Osogbo
Temple of Heaven Beijing
Confucius at Qufu
Buganda (Kasubi)
Tongariro
Tsodilo
Wudang

Am I wrong? I can count only 3 support for Taishan and Wudang, so Taishan should be italic not bold.

Right, my mistake.

Still a bit meagre, this one. Can use opinions from more people.

My choice:
Huangshan - for its specific 'Chinese' beauty
Itsukushima - representing Shinto
Taishan - representing Taoism, and quintessential Chinese sacred mountain
Niko - for its wonderful decorations
Osun-Osogbo - representing Yoruba cultural traditions
Temple of Heaven Beijing - one of the unmissable sites in Beijing

Summarizing again, and bringing over to the general page:

Dazu (already in on different category)
Fujisan
Great Burkhan Khaldun
Huangshan - for its specific 'Chinese' beauty - 2
Itsukushima - representing Shinto - 8
Jongmyo
Kii
Lushan
Qingcheng and Dujiangyan
Taishan - Taoist sacred mountain - 4
Wuyi
Nikko - exceptional architecture - 2
Osun-Osogbo - representing Yoruba cultural traditions - 2
Temple of Heaven Beijing - Obvious significance and wooden architecture design is exceptional. - 8
Confucius at Qufu - most important for Confucianism - 7
Buganda (Kasubi)
Tongariro
Tsodilo
Wudang - impressive in terms of architecture - 3