J.M.K.E. are known for their lyrics, which are at the same time angry and funny, ironic and melancholic, full of care yet cynical, and also they are known because of their peculiar melodic yet hardcore punk rock sound. They became one of the more popular rock outfits in Estonia, with the likes of Vennaskond, and Operatsioon Õ. In 1987 Villu wrote "Tere Perestroika", initially singing it alone with guitar. Later the band made numerous different versions of the song. It became a big hit because of its humorous topicality (Perestroika) and in 1988 won a song contest on a popular Estonian TV show. The prize was a vacation in Europe, but it never arrived. In 1988 came the first line-up change – Tarvo skipped from J.M.K.E. to the band Röövel Ööbik and a new bass player, Lembit, joined the band.
In 1989 the newly created Finnish record label Stupido Twins, with the aim of publishing some Estonian bands. J.M.K.E.'s "Tere Perestroika" was release # 001. The winds of change in the Soviet Union had already blown some chains away, and so J.M.K.E. were able to travel abroad for the first time in April 1989, playing their first concert in Finland to middle-aged communists at the Leftist Forum in Helsinki. Later that autumn they recorded for Stupido Twins their first LP, "Külmale Maale" (To the Cold Country), which was the first Estonian rock record made abroad. Maximum Rock'n'Roll called it "absolutely excellent". At the end of 1989 Venno left the band declaring that J.M.K.E. had “Become too commercial for me”, and Ardo took his place.
The band toured Estonia, the Nordic countries, and Germany, made a couple of EPs, and only by 1993 started to record a new album, "Gringode Kultuur" (Culture of Gringos). Meanwhile Estonia had regained its independence and J.M.K.E. couldn't continue with their anti-Soviet songs (what was the point?), so they found their new "enemy" in the invading "burger-culture", increasing poverty, and other early-capitalistic distresses. Lembit left the band in 1994 and was replaced by Sten. J.M.K.E. got also a new drummer, Andres, who plays the majority of gigs nowadays while Ardo, who is constantly traveling somewhere, has played on all studio recordings up to now.
Their third album, "Sputniks in Ресторан"("Sputniks at Restaurant") (1995), is an eclectic collection of popular Russian songs, sung in high energy Russian. The cover versions include the national anthem of czarist Russia, old revolutionary marches, soldiers' songs from WW2, and melodies from popular cartoons.
In January 1996 J.M.K.E. celebrated their 10th birthday with the longest lasting concert of their history presenting on stage almost all persons who had ever played with the band, permanently or temporarily, and with a cassette-only-release, "Rumal Nali" (Silly Joke, on Fucking Cunt Records). This contained old D.I.Y. recordings mainly from 1986 and 1987. J.M.K.E. didn't make their first "tidy" studio recording until 1989 in Finland although by that stage they had enough songs for three or four albums. It was just impossible to release punk rock records under the vigilant glance of sickle and hammer.
J.M.K.E. have gradually abandoned their directly political slogans and now tell more varied stories than before. Their newest album, "Jäneste Invasioon" (Invasion of Rabbits, 1996), is a good example of their present character. Some consider it to be considered J.M.K.E.'s best product since "Külmale Maale".
In 2000, after 4 years of silence, the album "Õhtumaa viimased tunnid" was released.
In 2006 J.M.K.E. released another album. This one for their 20th birthday, called "Mälestusi Eesti NSV-st"("A Memoir Of The Estonian SSR"). This includes songs that were recorded in a professional studio for the first time, for example "Ma ei saa sust aru", "Rumal nali", "Veri mullas" and many many more.