
In October 2020, Little Big's cover version of " Gonna Make You Sweat (Everybody Dance Now)" was used over both the trailer and the closing credits of Borat Subsequent Moviefilm. The same year, they also placed 3rd for the Best Music Video. In 2020, the band won the Most Trashy category with their video ''Go Bananas'' at the Berlin Music Video Awards. However, on 18 March 2020, the event was cancelled due to the COVID-19 pandemic. The music video for the song, released at the same time, features Yuriy Muzychenko from The Hatters and Florida Chanturia from Leningrad, both of whom were to join the band on stage during the contest. In March 2020, Little Big were announced as Russia's entry for the Eurovision Song Contest 2020, where they would have performed " Uno". Little Big took the first prize in the Most Trashy category at the Berlin Music Video Awards 2018 for their music video ''Lolly Bomb'' and their music video ''Skibidi'' won the first place in the Best Concept category in the festival's 2019 edition. The video features a dance that became popular when others tried to imitate it as part of the "Skibidi Challenge".

Little Big achieved viral success with the release of the video for " Skibidi" on 6 October 2018. Later that year she stated her "burnout after five years of doing the same job", combined with intention to start her own non-musical businesses (chocolate paste and lingerie), were the reasons behind her exit. In April 2018 Olympia Ivleva decided to leave the band. The band has its own label "Little Big Family", which includes Little Big (2016–present), The Hatters (2016–present), Tatarka (2016–present), Khleb (2017–present), and Lizer (2018–present). Countries and governments are not as important as they think, a person can deal with what he wants", said frontman Ilya Prusikin on the purpose of the band in an interview with Noisey. "We just want to show people that they own their lives. "Big Dick", with over 70 million views, is full of sexual imagery and overtones. "Big Dick" won Most Trashy, and "Give Me Your Money" won third place for Best Performer. On, videos for the songs "Give Me Your Money" and "Big Dick" received a prize at the Berlin Music Video Awards 2016.

It was 8th on the Russian iTunes chart for the 52nd week of 2015. On 19 December 2015, the band released their second album, Funeral Rave. We have not invested a single penny, just shot video, and became known in Europe", Ilya Prusikin said in an interview with UTV. They have toured in Europe, Russia, and North America. They made their first public appearance on 2 July 2013 at the club A2, opening for Die Antwoord.

The band made its debut on 1 April 2013, releasing their first video "Every Day I'm Drinking".
