Olive, coconut and..
Olive oil is healthy for cooking at low temperature
but is not healthy when exposed to high heat.
For higher heat i recommend coconut oil, which has many health benefits and does well at high temperatures. Hi-oleic safflower oil is also good for high temperatures. See http://integrativemed.Kumc.Edu/school-of-medicine/integrative-medicine/health-topics/healthy-cooking-oils.Html
for a good article.