Wiibrew developer yohanes has released an Apple IIe emulator for the Nintendo Wii called WiiApple. Says the dev, this app is based on AppleWin and requires that you have a USB keyboard in order to use it.
Here are the change logs for the past two versions. Be sure to check the readme file included in the download for more info.
o Sound support
o Fix joypad problem
o Invalid disk image will not freeze the emulator (in case of invalid disk, Master.dsk will be reloaded)
o Fixed text overlay
o Disable saving options (dangerous for now, because you might overwrite your files)