It is interesting to compare the Iraq and Afghanistan war (the US didn't militarily defeat Vietnam, and Korea was a military stalemate) with successful recent invasions. China invaded Tibet, and Russia invaded Chechnya, and Tibet is now part of China, and Chechnya contributes soldiers fighting in Ukraine. They differ from the US invasions in that they rebuilt the invaded areas, hence "winning the peace". The US also helped rebuild Japan and Germany, which was sadly lacking in Iraq and Afghanistan.

I would call the first Iraq war a success - the US achieved it's aims of driving Iraq out of Kuwait, destruction of the Iraq military, a UN resolution approving the attack, and wide support.

Contrast this to the second Iraq war and Afghanistan, where I agree the US was perceived as a bully. It bullied Pakistan ("You're with us or against us", war threats) into supporting the invasion of Afghanistan, and the invasion of Iraq was illegal, with France prepared to veto any UN resolution trying to legitimize the war.