As far as I'm aware, there is no animated version of Terrahawks. However, alternative animated intros are quite common for imported shows in Japan; other examples include alternative X-Men animations which can also be found on YouTube. You may also want to check out the manga-ised Japanese cover for the recent X-Box 360 release "Crackdown" ("Riot Act" in Japan). According to the Anime Encyclopedia, some of the early concept work for Terrahawks (which started as an Anderson/Japanese co-production) made it into the well-known anime Mospeada.
"The power of bakers, the power of artists; even the power of witches! It must be a power given by God... sometimes we suffer for it."- Ursula, Kikis Delivery Service.