I love this look. The placemats are vinyl. This orange color goes with everything. See the green grass runner down the middle of the table? Love that.
Here are some orange placemats. You can find them here.
If you like the horse racing theme, you might like these plates from L.V. Harkness. And these are very reasonably priced. You can use dinner and salad or use the salad plates with white dinner plates. I'd use these with a pink or lime green mat. Even purple would look good.
Use these. You can find them here.
I also fell in love with these dishes also from L.V. Harkness. They had some adorable bowls that went with this set. Each pattern is different.