I am sort of surprised I have yet to really see this idea thrown out here.
What sort of situation would a UK-led/Commonwealth/Euro war against Iraq in '91 look like? The US can be involved but mostly logistical support, say like France in Mali.
Say Saddam takes a hardline against British citizens in the country during The Observer incident. Or perhaps the destruction of British Airways Flight 149?
Could it be done, Falklands "Empire Strikes Back" style?