Outrageous Power

大それた力 Daisoreta Chikara

Some people call this Inordinate Power, which is a pretty poor translation since Inordinate is an adjective that usually describes quantity. Either that or they have a poor understanding of the word Daisoreta.

AkibaRanger's parody on Grand Powers (Ooi naru Chikara 大いなる力) from Kaizoku Sentai Gokaiger. While Gokaiger's gifts from past Sentai tended to be grand in size and usually refer to mecha (although not necessarily) the official Sentai gifts to the AkibaRangers tend to be human size.

DekaRed

Deka Wappa デカワッパー - Giant versions of the hand cuffs from DekaRanger. It's funny, because in DekaRanger there were two sizes, one for human sized enemies and giant ones for DekaRanger Robo. The ones in AkibaRanger seem to be an inbetween size. They're big enough to wrap around a person's waist, and can split apart to become giant claw like weapons.

BoukenRed

Bouken Scooper ボウケンスコッパー - A human-sized version of DaiBouken's weapon from GoGo Sentai Boukenger. In one episode, AkibaRed uses it to do an attack called Akihabara Underground Culture Attack where he literally drills underground.

Red Hawk

Jet Winger ジェットウインガー - It gives you wings. From Choujin Sentai Jetman.

Outrageous Cannon

ダイソレタキャノン Daisoreta Cannon

The Sentai trope of combining all the weapons to form a super cannon, brought to life using the official member's weapons.