What colors (other than black or white) go with army green?
Yellow would look great with Army green. Beige or tan is another great color as is brown. There are not a lot of colors to actually use with Army green but, you can brighten it up a bit to look better. It is what is in the Army green that counts.
Depending upon the shade, sometimes red works with it just fine :)
Navy blue or red would be my choice.
Go bold burgundy, orange, and throw in a little pink or blue.