Coral shades have become favorites for me, and I agree with June's recommendations. Blues and lavenders are among my favorite complimentary colors, as well as bronze foliage. As June said, yellows do tend to fight with coral shades. I have tried a few pale, creamy yellows and have been pleased, but bright, strong yellows tend to make corals looked washed out. I like using shades of peach and salmon among coral as well.
The coral shades in these Lilies were gorgeous this summer.