There is more than one artist with this name:

1) June (Mark Sutor, Tim Brennan, Mark Palacz, and AJ Brown) was basically started as a joke, and then realized that they had a pretty good thing going. After recording an early four-song demo and playing around the local Chicago scene and effectively building a loyal following, this joke began to catch on. The band independently released The June EP in mid-summer of 2004. Soon after, the band signed with Chicago's Victory Records.

June's new music is reminiscent of Chicago's scene while portraying more down-to-earth interests. The band is a delicate balance between a power-pop collaboration, combining melodic guitar hooks and vocal harmonies and a rock band lyrically straying away from typical avenues.

June's sophomore album is titled "Make It Blur" and will be released in the summer of 2007.

http://www.junerock.com

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2) American Rapper June hails from the west side of Detroit. He is Currently Signed to independent hip hop record label based in Detroit, Michigan, M.I.C Records

http://www.junesflow.com
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3) June is the stage name of a Korean singer, born in Seoul on 1987/1/2.

Although Korean, he rose to fame in Japan with the JPop song "Baby It's You", the 9th ending to the popular anime BLEACH. More recently, he has released the singles "Pride of Tomorrow" (2nd ending song of D.Gray-man) and "You and Me" in 2007.

http://www.june-net.jp

4) June is the name of a sardinian band, from Here I stay records

http://www.heristay.com

5) There's also a rock band June from Chapel Hill who released the album I Am Beautiful on Beggar's Banquet in 1996. Discography (http://www.trianglerock.com/music/bandetail.php?actor_ID=478)

I Am Beautiful (Friction Media 7-inch) 1994
Stripteaser (Friction Media 7-inch) 1995
Who The Hell: A Tribute to Richard Hell (Cred Factory CD) 1995
Genius (Squealer 7-inch) 1995
I Am Beautiful (Beggar's Banquet CD) 1996