Bizarro Episode: The aforementioned Task 39, coupled with Clip Shows of past episodes (first as they try to figure out which villain sent them the Prometheus Stone, then when its bomb is accidentally activated and everyone decides to stay together when it goes off). As it turns out, it was Makino-sensei who gave them the Stone as a form of training, and they stopped the bomb in the nick of time by smothering the Stone in Aegean salt. That is, no henshin, no mecha fights, and Eiji and Masumi dancing hula among other things.
Broken Base: The suits. Are they the most awesome thing ever, or way too cluttered and ugly?
Costume Porn: The suits are among the most high-tech and flashy in Sentai's 40-year run.
Family-Unfriendly Aesop: For Eiji: He's mixed-race (Human/Ashu), but that's okay, as long as he actively fights his racially undesirable side! This Aesop is especially strange since it was shown that his mother was kind-hearted which means Always Chaotic Evil should be averted, but alas...
On the other hand, he has justified reason for so as his racially undesirable side is that of a destruction-loving literal monster. It could count as a Fantastic Aesop, because you can not be a Half-Human Hybrid in real life.
Fridge Brilliance: Natsuki/Bouken Yellow being a Lemurian Princess would look normal, unless you realize that back then in Dai Sentai Goggle Five, Lemuria is the civilization symbolized by Goggle Yellow.
In Task 22, several members of the team (Masumi, Natsuki, and Satoru) are transformed into different animals. Masumi is... A German Shepherd. However, this actually makes a lot of sense; Shepherds are favoured as police and army dogs, and are generally considered dangerous and aggressive. In reality, however, they are actually quite intelligent, friendly, and loyal—quite bit like Masumi himself. He comes across as the mean 'bad boy' of the group, but actually cares quite a lot about the team, and is much nicer than he originally gives himself out to be.
Hilarious in Hindsight: Unless their numbers are being multiplied by special effects, you only seem to see a maximum of three Jaryuu on the screen at once, much like Land of the Lost, where you only saw three Sleestacks on camera at once because that's how many costumes they could afford.
This ended up happening again in the next anniversary series with the Sugormin, except in this case, it was because Toei only made 3 costumes as opposed to just not being able to afford more.
Irony: Despite being one of the most loved Sentai series, it's American counterpart Power Rangers Operation Overdrive is considered by some people to be the worst season in the entire franchise, or at least one of the worst.
Les Yay: The sequence where Natsumi imagined she was Cinderella and Sakura was Prince Charming.
Magnificent Bastard: The Questers. When you can not only manipulate the three main evil factions to provide the materials for the ultimate lifeform, but also unleash a long-lost cousin to keep the Boukengers further occupied, you're pretty magnificent in your bastardry.
Memetic Mutation: Let's just say Masumi is better remembered by his crooked teeth than by his actions.