A quanto option is an option where the payoff will be denominated (and usually paid) in a different currency.
For emerging markets, options are often denominated in a non-convertible currency (KRW, INR, TWD). For the Kospi denominated in KRW, you have futures on KRW denominated options in Eurex (cash settled in EUR), this is called a Compo option (you have a EUR/KRW fx exposure on the premium).
For INR and TWD, you have futures on INR/TWD denominated indexes (nifty/msci tw) traded, in that case 1 point of the index has a US dollar value, this is a Quanto future/option (you don't have any USD/TWD or USD/INR fx exposure).
An other example for futures would be NIKKEI, futures are available in JPY on SGX/JPX/CME. They are also available in USD on CME (no USD options however).
Over the counter you could also create an EUR option on a EUR Nikkei index (with a strike in Euros), I can't see a real life listed example however.