In Episode 16, she can be heard humming "Invoke", SEED's first opening theme, while packing her bags.
In Episode 23, Mao's master, whose favorite Gundam girl is Murrue Ramius, can be seen ogling Rinko.
Kirara's idol outfit is white and has pink hair which is tied in Girlish Pigtails, not unlike Madoka Kaname, who is also voiced by Aoi Yuuki. (It is unknown what is Kirara's natural hair color, but Madoka is naturally pink haired for sure.)
As Mihoshi, she ties her hair in a very long ponytail with two short sidelocks, wears a thick clothing and is also a pilot (though she joins in Gunpla Battles as Kirara, however), not unlike Akira Renbokoji, who is also voiced by her voice actress in another Sunrise anime, Valvrave the Liberator.
Contest Winner Cameo: Three of them, in Episode 23: the red-and-yellow Deathscythe was the winner of a custom color contest, the white and black machine named "Benkei"note For the record: Geara Doga head, God Gundam arms and body, Red Frame Kai legs and katanas, and a Sword Striker backpack piloted by GBP's version of Al Izuhura won a Gundam Breaker design contest, and the heavily customized Zssa that blasts Reiner's Zakrello was the winner of a Gunpla contest (the runners-up appeared in Episode 17 on Master Chinan's shelves).
Sazaki is often called Gyandere, due to his obsession with Sei and his preference of Gunpla.
Rinko is called Mama-n, the suffix ~n is used in Japan as to point out cuteness aloud.
Also it sounds the same like the Japanese slang Maman, who is the equivalent there of the phrase MILF.
The moment Sengoku Astray appear fully as model kit, it earned the title Weeaboo Astray, being overtly Japanophile all around (even the name Gundam is written in Kanji)
The GBF universe is also sometimes called "Gundam Valhalla" due to the numerous cameos of previously deceased Gundam characters being shown living happy and carefree lives.
On certain Imageboards, the show is also called "Gunpla/Gundam Boy Friends" due to the abundance of shipping material, of both the Ho Yay and straight variety.
Rainer Cziommer, due to his Wild E. Coyote tactic, is now know as "butt-hurt NTR guy" in Japan.
The alliance of pilots who attack Fellini in episode 11 was quickly dubbed "Team NTR", since their entire motivation was to exact revenge against Fellini for stealing their girlfriends (though he insists that they came on to him).
Aila's Qubeley Papillon is slowly getting the nickname "Uberley" for being overpowered against other Gunpla that it faces.
Nils Nielsen is now known as NiNiNi - for Ninja Nils Nielsen, which is what he becomes when he's not doing Gunpla fight.
As soon as the Renato brothers started to snark at Luang Dallara's defeat during the episode 17 stinger, the western fandom quickly named them "the evil Lockon twins".
The strange friendship/Ship Tease between Reiji and Aila has been labelled as "The Meatbun Chronicles", due to that food playing a role in their first several meetings. As a result, both of them received the nicknames "Mr. and Ms./Mrs. Meatbun."
Dark Matter Exia is often jokingly called "Edgia" due to its "dark and edgy" colorscheme and all of the sharp edges incorporated into its design.
"Trans-Amazing" for Amazing Exia's Trans-Am.
"Build Hell and Heaven" for Star Build Strike's Double Build Knuckle, which was used against Exia Dark Matter.
Meanwhile, due to the events of Episode 25 and the end of the Island Wars OVA, Aila quietly received from the fans the title "Arian's Future Queen".
Ditto also for Mobile Suit Gundam Wing: This series marks the reunion of the voice actors of two of the Gundam Doctors (Doctor J and Master O), as Master Chinnan and Mr. Ral, respectively.
Screwed by the Lawyers: Due to various legal agreements with Japanese TV networks, Mobile Suits that have aired on MBS and TBS in the last 5 years cannot be shown in Build Fighters. This means that, while suits from season 1 of Mobile Suit Gundam 00 are present and represented, suits from season 2 are a no-show.
Although given its OVA release nature, Mobile Suit Gundam Unicorn is apparently fair game, considering a Loto did show up in the series, as did the Unicorn and Kshatriya (albeit as static models).
That said, the appearance of the Amazing Exia Repair in the final episode made fans squeal for joy... especially when they remembered that 00 Season 2 suits became fair game two days before Episode 25 aired.
Actually, the Amazing Exia is a double case of this: Careful examination reveals it's not actually an Exia, but an Exia Repair II. The staff did mention on Twitter doing something that pissed off the brass...
Most of the show's models actually do have highly articulated, "perfect" real world matches. The in-show models are also noted to have been sanded, painted and generally customized by their makers.
In Episode 3, Mr. Ral's Gouf, from an older line of kits, is accurately depicted as being stiffer and less detailed than its modern counterparts. note this also matches the Gouf's animation in the original Mobile Suit Gundam, making it strangely enough show accurate too!
Becomes a plot point in Episode 9, where Sei realizes that Show Accuracy (making Build Strike something you might actually see in the Gundam SEED universe) is holding him back. He needs to use all his creativity if he wants to compete with world-class Builders.