Apart from bitcoins and altcoins, are there any other virtual currencies (like game currencies, gift cards or coupons) that include cryptography in their algorithm?
Is suppose you choose to not consider online payment, credit card payment with euros, pounds, yens, etc(which include cryptography in their algorithms)...
In the 90's, there was a company called Digi-cash funded by David Chaum: https://en.wikipedia.org/wiki/DigiCash The goal was to provide anonymous transactions to users and was based on his previous academic work about e-cash The company doesn't exist any more, but it's the best example of "cryptocurrency" not based on the "blockchain protocol".