As you’ll recall, the C64 emulator for the iPhone was shut down by the App store for being too awesome. Apple has approved the app but took off the BASIC support. Not great but not bad, either.
You can download the app here and this time there is no secret back door for enabling the BASIC emulator right in the app, which caused the emulator to run afoul of Apple’s draconian “no fun” policy.
Here is a cheerful Australian man running you through the app. It allows you to play classic games including that Kung Fu game that you remember but don’t quite know the name of but had a picture of the Sydney opera house in the background (it was called International Karate). It comes with eight games.