I bought that skirt in navy, too and I'm planning on wearing it with yellow, pink, green, and some prints. You could also do seafoam, lavendar, orange....I think navy is really versatile. Anthro has a lot of stuff now that would work well.
This comes in sort of a salmon color, too. Both would be cute.
Just wanted to pipe in with agreement to what the others have said. I treat navy like black, it goes with absolutely every color, including other shades of blue (especially turquoise, or others that pop against the dark palette).