Elegant, sometimes (derogatory) affected, prissy, or bloodless.
Developed, improved.
Subtle, scrupulous, carefully thought out.
Highly-processed and pure.
Free of dross or alloy.
Dealing in a refined product such as sugar or petroleum.
Elevated and polished.
The refined form of a commodity, as opposed to its raw or generic form.
Of art or other things: appealing to the tastes of an intellectual or sophisticated (sense 1) person; cerebral; also, cultured, elegant, refined.
Of a person: having obtained worldly experience, and lacking naiveté; cosmopolitan, worldly-wise.
Complicated, especially of complex technology.