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.
I run a canadian led kit & hid kit company, if you have any questions about led headlights or hid kits in canada or would like to check out our products please contact me here: http://absolutehid.ca
Hot: 2001 Estoril M RoadsterZCP 19's michelin supersports, ZHP knob, JL 8W3
Cold: 2002 TiAg M3 6mt
deoranged, dechromed, led tails, ZHP knob, UUC SS v3, GROM, OEM 18's w310's,
Fun: 2006 YZF-R6, black, ohlins, pazzo, graves