These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Some people like Hibiki and think that she's a great heroine, while others find her annoying and contrived.
Similarly, people either like Tsubasa for being a BadassKuudere swordswoman or the hate her for her Jerkass tendencies in season one.
Big Lipped Alligator Moment: The Training Montage in episode 9 of G. It's comes after the revealed that Miku is alive and doesn't seem to serve a real purpose compare to season one's montage to make Hibiki a better fighter.
It serves to have Genjuro and Hibiki sing the theme from Police Story.
Complete Monster: The Big Bad of the second season is Dr. John Wayne Vercingetorix, known as Dr. Ver. A Mad Scientist of unparalleled ego, he has no qualms about using a Mook-making device on innocent civilians just because they saw him in action (those same Mooks disintegrate a normal human just by touching them), and has quite a sadistic streak, grinning like a maniac when a resurrected monster bites off the heroine's arm. The other members of the terrorist organisation he's part of don't think highly of him, and only keep him because he's the only person to be able to look after the wheelchair-bound leader's health, which he gleefully uses as an excuse to inject psycho serums to the combat-capable members. When the season's climax comes around, he flat out admits that he never shared the organisation's views of preventing the world's destruction, and simply wants to save his own butt, with optional plans to repopulate Earth with one of the antagonist Symphogears, hence why he accelerated the Moon's descent rather than stop it.
The majority of the fans who watched the first season found the sequel to be superior after a few episodes had aired, due to the increased action, an antagonist group that has been around since the beginning and most of them are developed Anti-Villain... and compounding them is the utterly depraved Dr. Ver as the Big Bad. Though this is in large part because of blatant stealing of plot elements from the well established Magical Girl Lyrical Nanoha franchise. Just about every major event and major character has a direct mirror (Frontier = Cradle, Dr. Ver = Dr. Scaglietti, etc.)
In fact, it's seen as so much better the Blu ray sales for the first volume were more than double of that of the blu-ray sales of the first season.
Chris is this. Her popularity on forums and blogs was disproportionate to her appearances in the first half of the first season. It must be her Badass Adorable and MoeTsundere tendencies. Plus, those large guns.
Miku is considerably popular due to her sweet personality. She gets more than that in Season 2.
Maria and Tsubasa in Season 2. Not only is Maria's Symphogear identical to Kanade's, their duet in the first episode is awfully suggestive, with furtive glances and both performers stroking their long, phallic microphones. Once Maria is revealed as a villain, she and Tsubasa directly oppose one another, with their fights being some of the most intense.
The opening of G has two silhouettes at the beginning, with one of them trying to catch the hand of the other. The silhouettes are Hibiki and Finé.
If the Noise are behind most monsters in legends, maybe people accidentally fused with relics gave birth to werewolf tales?
Gungnir is Odin's spear and he is associated with berserker, making it a great name for Hibiki's relic. Along the same line, Ichaival is Odin's bow, fitting well with Chris' trigger-happy and destructive tendencies.
Love to Hate: Both Big Bads, Finé and Dr. Ver are well received by the fans. Even though they don't fit the Magnificent Bastard category, their hammy portrayal and their manipulative abilities have cause the fanbase to like them or to hate them. Especially Dr. Ver is considered as an over-the-top villain, being much crazier than Finé herself, even though Dr. Ver is a weakling compared to her.
Moe: Hibiki and Miku definitely qualify, and Chris has her moments. And, come season 2, Kirika and Shirabe are both on the Moe bandwagon. Also, Chris became much more Moe in season 2.
Moral Event Horizon: So how do you think Ver can top Fine in terms of being utterly despicable? Well, a good starter sign of skirting the line would be when he fetches Noises on passing by kids just because they were looking at him fetching Noises to US soldiers with a smile on his face. If that wasn't enough, then forcefully injecting Psycho Serum to Kirika and Shirabe and tells them to use the Swan Song (which would mean death for them) while acting like an Entitled Bastard despite their pains and dangers of getting injected with them would be him crossing the line. Kidnapping and brainwashing Miku into giving her a Symphogear form? Now that's leaping faaaar away and deeper from the horizon, accompanied with the biggest "WOO-HOO!" you can ever imagine. He's still waving and taking another leap when he sends Nastassja off to the moon, killing her, because she's trying to avert the damage he's caused, this is also the final push for Maria to finally have enough with bearing with him and deciding to kill him.
Ryoko got a lot of hate during the first season, largely for being a Psycho Lesbian. YMMV if her being Fine did anything to win her some fans.
And for season two, Maria has become one of these. She had a lot of fans during her debut episodes, but a mix of Badass Decay and Wangst seems to have gained her dislike. Again, YMMV if her actions in the season finale have her Rescued from the Scrappy Heap.