These are the dood-dads for the Italy ones....

Turin 2006
Mascots
"Neve": she is a gentle, kind and elegant snowball; "Gliz": he is a lively, playful ice cube. They are the two symbolic characters of the XX Olympic Winter Games. They complement each other and personify the very essence of winter sports.
The mascots were born from the pencil of Pedro Albuquerque, a 38-year old Portuguese designer who won the international competition launched by the Organising Committee for the Olympic Games in Turin (TOROC) on 25 March 2003. He was inspired by his passion for water and the incredible shapes this element takes on when it is transformed into snow or ice; by his research into the Italian spirit and the places hosting the Olympic Games; by the Olympic values; and by the technical characteristics of the various sporting disciplines of the Games.
"Neve" and "Gliz" reflect the spirit of the Italian Olympic event: passion, enthusiasm, culture, elegance, and love of the environment and of sport. They are the symbol of a young generation that is full of life and energy.

The 2006 Olympic Winter Games emblem portrays the unmistakable silhouette of the Mole Antonelliana. It is transformed into a mountain, among crystals of ice, where the white snow meets the blue sky. The crystals come together to form a web: the web of new technologies and the eternal Olympic spirit of communion among peoples.
and Beijing:

The official emblem of Beijing 2008 entitled "Chinese Seal-Dancing Beijing" cleverly combines the Chinese seal and the art of calligraphy with sporting features, transforming the elements into a human figure running forward and embracing triumph. The figure resembles the Chinese character "Jing", which stands for the name of the host city and represents a particularly significant Chinese style. The artwork embodies four messages:
- Chinese culture,
- the color of red China
- Beijing welcomes friends from all over the world
- to challenge the extreme and achieve the perfect and promote the Olympic motto of "Citius, Altius, Fortius (Faster, Higher, Stronger).