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Hello Garling,
what about making a simple web page and use a server side technology to interface to the GPIO?
You could use Python or PHP. If you don't know these languages, they are interesting to learn. I like Python the most because you can do much more than just server side scripting. You could also learn more about HTML/CSS/Javascript.
An example project would be to make a webpage that display a schedule that you can apply to the output pin you want. You could plug a relay board (inexpensive on ebay) to the Omega and turn on/off lights in your home/backyard or stuff like that.
With your OLED display, what about making a dashboard that can display your twitter timeline, check if you have any unread emails or other notification, or just simply display the local weather?
It is a small Linux computer, there is a lot you can do. Lots of language to learn.