[11] The song also features Banks rapping "lines about media scandals and keeping true to herself" over a beat likened, by critics, to the works of M.I.A.

Hogan later categorized "Jumanji", along with Barbadian singer Rihanna's "Birthday Cake", and the Big Sean and Nicki Minaj collaboration, "Dance (A$$)", as "clappers".

Lipshutz also compared Banks's performance in the song to the works of Cam'ron and early Ghostface Killah, claiming it was "a great thing".

[16] Using a similar comparison, Jonah Weiner of Slate commented that the song "channels the sort of hip-hop that dominated New York in the early- to mid-'00s—in particular, the triumphal cacophony and inspired gobbledygook of Cam'ron and his Harlem crew, the Diplomats".

Weiner went on to commend the track's "comically helter-skelter" percussion, but heavily praised the song's relaxed tempo, stating it "better accommodates kingly rapping".

[6] Mark Richardson, writing for Pitchfork, gave the song the "Best New Track" honor, stating, "her rapping really functions as the bedrock, the steady pulse for the production (by Hudson Mohawke and Nick Hook) to swirl around".

"[17] Reviewing the song's parent mixtape for the same publication, Marc Hogan lauded the "[sic] rapidfire verses and an instantly quotable 'real bitch, all day/ Uptown, Broadway' hook over what sounds like elephants escaping from an urban zoo".

Banks performed the song at the Bowery Ballroom on June 4, 2012, as part of her Mermaid Ball tour's setlist, with a pair of athletic backup dancers.

[23][24] Ernest Hardy of the Los Angeles Times lauded the performance, comparing Banks's vocal delivery on both "Jumanji" and "Esta Noche" to that of Lil' Kim's.

[28] "Jumanji" was included on Banks's set list for a performance at Club Nokia on April 19, 2015, described by Entertainment Voice as a "high octane rendition".