Any Gundam would be a better example than Gundam Wing. That show has so many holes and the characters really don't make sense. Plus, they are incredibly stupid--their actions seem to be 'cool' for the sake of 'cool'.
Serious? Gundam 0080 would be a good choice. 6 episode show with only 2 major Gundam battles. The show focuses more on the civilians, and the ending is a one-two bitterly ironic punch to the gut for anyone who ever thought war with robots would seem cool.
Zeta Gundam would be better. Turn A Gundam. V Gundam. Heck, IMO, even the original Gundam is better.
I'd say that they should see these TV shows:
Little Princess Sara
Grave of the Fireflies. It made Ebert's top 100 greatest movies of all time list. I have problems with the movie itself, but there's no denying the sheer emotional wallop guts the viewer with.