Big Lipped Alligator Moment: In episode 2 and 3, it's established that Tiffa can feel the pain mobile suit pilots endure when they die in battle. But after that, it's never shown, brought up, or even mentioned ever again. Even during places where it should have been activated, it doesn't.
Complete Monster: Seidel Rasso is the leader of the Space Revolutionary Army. In the aftermath of a war that nearly wiped out humanity, Rasso became the leader of the twelve million people living on the colony of Cloud 9. Turning it into a police state, Rasso suppressed all dissent, and preached a Master Race philosophy, founded on the notion that since Newtypes could only be born in space, the colonists, rather than the people of Earth, should control the destiny of the human race. Knowing this to be false, Rasso also kept all information about Newtypes on Earth quiet, while gearing up for another war. Destroying the rebellious colony of Satelicon, including its largely civilian population, with photon torpedoes in order to consolidate his power, Rasso had his right-hand man, Nichola, arrested and summarily executed for suggesting peace talks with the New Earth Federation, and tried to use a Kill Sat to exterminate those humans remaining on Earth. When the supercomputer DOME revealed that Newtypes were really no different from the rest of humanity, Rasso refused to accept it, even as his archenemy (and ardent Newtype hater) Fixx Bloodman of the NEF reconsidered his own position. Pushing his own lies to the end, Rasso's last act was to violate a ceasefire between himself and Bloodman, ranting about how Oldtypes like the NEF president were all scum who deserved to die.
Harsher in Hindsight: A meta-textual example. When the show first came out, the whole concept of "drone weapons controlled by one person to cause mass destruction" seemed a little out there, and perhaps contributed to some of the trouble Japanese fans had suspending their disbelief. Come The New Tens, and all of a sudden the aforementioned seems creepily prescient more than anything, and gives the whole show a lot more teeth in its messages.
Hilarious in Hindsight: Garrod using the Satellite Cannon can be as such, if you take into account his Japanese voice actor is the defacto voice actor for Daffy Duck in Japan, except Daffy is always at the receiving end of the attack, rather being the one doing the attack this time.
Les Yay: Ennil El and Toniya. First, Ennil gives Toniya a nice dress as a gift. Then, when Toniya wears the dress to dinner with Ennil, Witz assumes it's a date and she's teasingly ambiguous about it. (Granted, they spend part of their "date" talking about their romantic prospects with men.) Later, when Ennil betrays the crew, she tries to make sure Toniya will be safe. And in the Grand Finale, Ennil and Toniya ditch their new boyfriends Roybea and Witz to drive off together.
Moe: Tifa Adil. Notable in that she had a lot of these traits before the term was really codified, and may have contributed to codifying it, alongside a few ofher contemporaries.
The Scrappy: Olba Frost, the younger Frost, is ferociously bashed by fandom for supposedly being a male Yandere with a brother complex. Even his voice actor hates him - apparently, the role even gave him logomisia toward the phrase "Nii-san.".
Tear Jerker: Tiffa's drawing of herself and Garrod getting burned when the Frieden is attacked at the end of episode 30.
In the episode afterward, Garrod breaking down in tears upon finding what's left of it, especially since he saw Tiffa get kidnapped and forcibly taken to space and couldn't save her.
Vindicated by History: To some extent. While it still hasn't gotten an HD remaster, it has gotten a number of "posthumous" high-quality Gunpla model kits that have all done quite well, its followup manga did quite well for itself, and in general the show is well-regarded on both sides of the Pacific by critics and fans at this point.
In particular, it's become a popular mainstay of Super Robot Wars; its appearance in Alpha Gaiden helped spur re-examination of the show, and the massive involvement of the show and characters in Super Robot Wars Z (straight down to getting the actors to come back into the studio to record an irrelgular number of new lines) has been largely due to fan demand.
What an Idiot: Early in the show, Garrod has no idea about teamwork, blunders because of it, and tries to correct by doing something equally stupid. He spaces out while helping to load cargo and injures one of the crew. He feels terrible and tries to make up for it by doing a solo raid on a defunct nuclear reactor... without scouting it out or considering how safe it is (not safe at all), and he gets in over his head with Ennil El's Vultures. Jamil is hurt bailing him out during the second sunrisenote ignoring the error that nuclear reactors don't become nuclear bombs when they melt down so Garrod feels terrible and gets a What the Hell, Hero? from Sala. So he sells the Gundam. The incredibly powerful Gundam with a Wave Motion Gun that can turn forests to glass that should not be allowed into just anyone's hands. It's even more frustrating that he's smart about making the sale by ensuring he can't just be murdered and robbed for it.