Prior to the album's release, the group's management team, LDH, released a new line-up system that removed several members from E-girls; as a result, it is the first album without members Chiharu Muto and Kyoka Ichiki due to their personal departures, as well as minimal appearances by Erie Abe, who appeared as the group's DJ.

To promote the album, E-girls embarked on their E.G. Evolution concert tour of Japan, which was followed by a live release.

On January 15, 2014, E-girls released their third studio album, E.G. Time, which was a critical and commercial success in Japan.

Six of the 26 members were removed from E-girls and assigned to pre-debut groups Rabbits and Bunnies for further training.

[14][15] "Saturday Night (Rock na Yoru ni Mahou wo Kakete)" is a Japanese cover song of Bay City Rollers', and appears as a B-side to "Anniversary!!".

[11] "Strawberry Sadistic" serves as the theme song for the Japanese film High&Low The Movie (2016), while the J-pop ballad "Shukko Sa!

Pop concludes with the cover song "Love, Dream, and Happiness" by the Japanese band Exile.

Cool begins with "All Day Long Lady," another track based on the Japanese Neo Girls theme.

[11][17] "Pink Champagne" is an electronic dance track influenced by 1980s disco and tropical house music, whereas "Hey!

[12][18] "Caution," one of the album's newer songs, represents a departure from the girls' sweeter image to a more edgier and sexier style, whereas "Boom Boom Christmas," featuring Dream members, is a B-side from "Merry x Merry Xmas.

[11] "Bad Girls" and "Cowgirl Rhapsody" are B-sides to "Pink Champagne" that were inspired by EDM.

[11] "Bon Voyage" is the album's final B-side, and it is influenced by midtempo tropical music.

", which discusses the girls meeting new people in the future and is notable for its hip-hop and rock elements.

Smile: E-girls Best, Rhythm Zone released "E.G. Summer Rider" as the album's follow-up single on July 20, 2016.

[28][29] A month earlier, a music video featuring the girls driving down a sunny beach was released on YouTube.

[37][38] The music video depicts a variety of Japanese-inspired fashion and was the first single to visually represent the Japanese Neo Girls concept.

[10] In addition, the girls promoted this through a series of radio events in Japan, and made occasional promotional appearances, either alone or in small groups, to support the album, including Music Station, MBS' Music Festival, and MTV.

[40][41] E-girls scheduled a number of TV appearances in Japan in early 2017, the first of which was a live broadcast of their 2015 Colourful World tour on MTV.

To celebrate the record's release, Japanese retail store Samantha Vega re-decorated their Shibuya, Tokyo locations with handbags and other accessories previously partnered with the band, as well as including each format of E.G. Crazy; members Harumi Sato, Kaede, and sisters Karen and Shuuka Fujii attended the event.

[10] A limited edition DVD and Blu-ray release included an additional disc containing live performances from their E.G.

[10] According to the group's leader, Aya, the placement of each member around the shapes creates a "vortex" of both "enthusiasm" and "crazy" feelings, both of which were "expressed" for the record's release, photo shoot, and, ultimately, the inspiration for the title.

[50] Prior to its release, Nielsen SoundScan Japan reported that the album had sold over 61,000 units, making it their best-selling effort and nearly doubling the sales of its closest competitor (Hubby Groove by Inaba/Salas), which had shipped 37,000 copies.

[56] E.G. Crazy debuted at number one on the Billboard Japan Hot Albums and Sales chart, selling 89,475 copies in its first week.