The miscellaneous carbonates covered in books of mineralogy are azurite and malachite. Both are basic copper carbonates, considered too soft to make good gemstones but their color makes up for their lack of hardness. Azurite is bright blue and malachite is bright green. Crystals are rare and both are found as earthy aggregates, sometimes together.
Some other miscellaneous carbonates are natron, trona and hydrozincite. These are soft, water soluble, crusty materials formed by the evaporation of water from lakes. In the case of trona, it is the evaporation of "soda" lakes such as those in Utah, California and Egypt.
A friend has loaned me a beautiful book, The Book of Stones, which delves into the metaphysical and healing aspects of stones and crystals, material with which I am not familiar and which I sometimes look askance at. I may blog about this book, with the constant disclaimer that I really don't understand or subscribe to this philosophy of gems and minerals but I have an open mind.