Oliver!: Wayne Coyne - I Want to Kill My Brother: The Cymbal Head (25 January 1992)

This track by the leader of The Flaming Lips was taken from a compilation album called Guitarrorists, which Peel played selections from over late January/Februray 1992 and had terrible problems pronouncing correctly.
Despite nearly missing out due to excessive feedback wankery at the start leading to a slow start, it won me over through the way it builds until by the end it sounds like the guitar equivalent of a Formula 1 race which may well have appealed to a motor-sports enthusiast like Peel.  I also like the false and abrupt ending.

Video courtesy of lavawood.