Martian blueberries and Moqui Marbles are the only two kinds of spheres that look like ooids. However, their chemistry is quite different from that of ooids. Martian blueberries contain hematite while Moqui Marbles contain iron oxide, so they don't show the colors of the rainbow. Color is an important aspect that differentiates the Martian ooids from the Martian blueberries and the Moqui Marbles.
Note 1: “Color (of calcite) is white or none, though shades of gray, red, orange, yellow, green, blue, violet, brown, or even black can occur when the mineral is charged with impurities.” Quoted from the second paragraph of https://en.wikipedia.org/wiki/Calcite#Properties