Recommendation: Watch the original series instead. This is basically a long summary with nothing new whatsoever, so only come here if you're looking for a quicker rewatch. Starting out, I wondered if I could get away with simply watching these movies instead of the series considering that they both reflected the same story. I knew the series would have more material, but maybe these newer movies might have updated visuals, or might tell the story better or at least more succinctly? Unfortunately, no: I'm pretty sure the movies have no new scenes, the visuals are the same, and the plot moves past succincthere.

Both series are condensed enough, but these movies condense past the point of comfort. With all the cutting they had to do, scenes jump around a bit more than they should. The brunt of the action's there, but the development to that action, and especially the reasoning for that action suffers in the movies.

But please do try the original series! They already have excellent reviews on MAL, so I won't unnecessarily delve into them here. But I'll just say this: if you don't like Gunbuster (Top wo Nerae), please still give the significantly more modern sequel a chance (but do know that although the stories and characters of the two OVAs are mostly separate, you'll enjoy Diebuster (Top wo Nerae 2) more having first finished its predecessor. It's a spoiler to say why). Dazzling protagonists that evolve well throughout each episode... rare beasts indeed, but we find one in both. Come back for these compilation movies only if you get the urge to rewatch both of these underground gems.