There are two artists with the name Fanzine:

1) Fanzine are a London fourtet that are straddling the distorted guitar/thumping drums aesthetics of 90s indie rock with a smattering of lo-fi garage - all with a sense of tongues firmly in cheek. http://www.myspace.com/fanzinetheband

2) Spanish 80s Minimal Electronics act. They recorded several demos during 1980-1983. A 7" containing some of their songs titled "Llegas Tarde" was released by Synth Pop Spain Records in 2008.