You can also buy essential oils online. Aroma Tierra (www.aromatierra) has good collection and their oils are 100% pure unlike a lot others in the market. I love their Lavender Kashmir (Himalayan Lavender) and Neroli. I think Edens garden is also good, but never tried it
Organic 100% pure essential oils in a wide variety of fragrances is available at The Holistic Institute in JLT (Jum Business Tower 2, Cluster V).
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<em>edited by crystalsindubai on 05/11/2011</em>
You can get Tisserand oils in Park n shop which are really good. http://www.tisserand.com/ The ones in Organic store are good, but I think the Tisserand is better. (just my thoughts based on the ones I have bought)
Dubai Mall: Organic supermarket has a range of organic oils (decent quality, I believe).
Also the "health' shop a few doors down to the left of it (by the carpark entrance) has a range of decent quality ones.
In front of IKEA at Festival City there is a kiosk called "Laughing Buddha" that sell a big variety of oils. Right next to that kiosk is a new kiosk called "Lifestyle" that also sells perfumes for humidifiers etc and some essential oils etc. too.