i'm assuming the angel eyes are aftermarket? Its likely either the CCFL ballast or the connections to it. Try playing with the wires when they're not working, if they start its definatly a wiring issue.
mods please move this to e46 section.
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2002 TiAg M3 6mt
deoranged, dechromed, led tails, ZHP knob, UUC SS v3, GROM, OEM 220M 19's, Michelin Supersports
2006 YZF-R6, bunch of go-fast stuff