jkr has you on the right track.
Go to the website below and on the homepage, right hand side, click on campaign streamers.
The article will name the wars fought by the US Army. Don't be led astray by the campaigns of those wars. As an example, there are 16 named campaigns for the Revolution alone. The Indian Wars are the Indian Wars. Each engagement with a tribe is a campaign, not a war. Similarly, the Ardennes Campaign was part of World War II.
I'm not acquainted with the other services, but I'm sure each has a comparable web site with service related information. The official sources are the best.
James B. Ronan II
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