And just as a complete opposite to this, I would recommend the Trooper story. Just like all class story arcs I've played, the Trooper has some weaker parts, but there is a lot of good, military-ish, save-the-world storytelling to be had with that class. One part in particular had a very OT feel to it:
The Trooper also has, in my opinion, one of the best starter world experiences.