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I believe that the most compelling characters for the sake of role-play experiences are those that fit most naturally in the given setting. Any character with her own strengths and weaknesses can be both compelling and interesting so long as those strengths and weaknesses fall in line with what is normal for the Universe. I find myself okay with a certain amount of distance from the game's lore, but some liberties bug me when they go too far. Sue behavior is real. There seem to be some role-players in every community who forget that they are but one of many and view themselves as the all-important, all-powerful center of the Universe. That just makes me roll my eyes and I often do what I can to keep clear of such people. They usually make it pretty easy to handwave in-character anyway. 
If I have to vote for one, I prefer underpowered to overpowered, but to be curt, I prefer average. Taking average characters into big adventures is a lot more interesting and exciting to me than taking larger-than-life characters.
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If I have to vote for one, I prefer underpowered to overpowered, but to be curt, I prefer average. Taking average characters into big adventures is a lot more interesting and exciting to me than taking larger-than-life characters.