gborland: Because of the way we're allowed to start here on BrainKing, we can get some non-traditional openings. My game http://brainking.com/en/ShowGame?g=994572 is a good example of one of those. I have no suggestions for how to proceed in those situations.
Here are two examples of games where I had both of the more common openings, and they were played out fairly well. In each, the moves become non-standard by about move 5 or 6 (or 9-12, depending on how you're counting).
http://brainking.com/en/ShowGame?g=992113&i=8
http://brainking.com/en/ShowGame?g=992205&i=8