Hamtaro: Ham-Ham Games(2004)

Tottoko Hamtarou: Ham Ham Paradichu! OVA: Ham-chans no Mezase! Ham Ham Kin Medal ~Hashire! Hashire! Daisakusen~

Considered the prequel to the fourth Hamtaro game (fifth in Japan). In this tribute to the 2004 Olympics, Hamtaro and the Ham-Hams are tasked by Prince Bo with lighting the everlasting torch to Hamcropolis. However, the Rainbow Girls will not allow this and pursue the Ham-Hams.

(Source: Wikipedia)