I think you need some slower particulate coming off the glowing trails after the beams have passed in addition to the first few sparks. I think that's how the retail animation goes, or maybe the retail looked bad enough that gimicky explosions didn't look out of place. Maybe you could make the glowing trails fade out a bit less rapidly too? I really don't know how to address this either.
The last beam shot that kills the camera appears to curve out of its way in order to hit the camera, which meant that I needed to watch it twice before I realized that the camera got fried by the beam. Is there a way to make it line up a bit more naturally? Yeah, the rakshasa's moving when it shoots. 'doh.
Carthage/Dashor warp-out looks kinda bad... It's fairly obvious that they come to a stop (fully visible) behind the portal, half fade out, and disappear with the warp hole closing. It looks like they get swallowed up rather than rocketing through them. Carthage could do with bigger engine plumes and lens flares to match in-game appearance more.
Rakshasa also has bits of stuff behind the warp hole that's visible, when it probably shouldn't be. Is there any reason you're not using the invisibility clipping plane method that FSO usually does?
Otherwise, I like very much. Especially the nameplate
And of course, you probably know me to be one of the excessively picky people (thick cables), so feel free not to seriously address all my criticisms. I just like to post a dump of what I catch, so I don't have to do more than one post of this.