Fazer 600 cut out problem

[greenman]

I've had similar issues at different times caused by different faults and did the same as you describe less than 150 miles after purchase, a few years ago now which turned out to be a combination of blown head gasket, blocked fuel filter, dirty carbs and failing spark plugs. The next time it did it again and stopped when put in gear, turned out to be water in the tank filing the carbs with water, it would start, just enough fuel floating on the water in the float bowls to tick over, putting it in gear must have moved bike enough to disturb what's in float bowls and sucking water in to the engine. The next time I traced fault back to plug caps, replaced them a year ago and it's run sweat since then. Mine is a 99 with 49000 on the clock.
I don't know if this will help but it may suggest some different areas to look at.
Good luck fixing yours.