Great topic, as it is one we have always thought of. I am also glad to see people taking it seriously, rather than just going with the biggest stars.
I used to say I played a lot like Jamison - a little unorthodox, solid rebounder, but could handle the ball and score off the dribble (for a bigger guy) in a number of different ways. I think in the current NBA, I would say Paul Millsap for similar reasons.
I am 6'5" without shoes, not overly athletic and shorter wingspan, but can still dunk at 36; hate when people make me play center. I consider myself a 'forward' (I guess they call it a 'swing' nowadays). I prefer to make my move off the dribble, but have a killer hook shot down low
Defense is also solid, but unspectacular.
I absolutely hate going up against some of you Marcus Smart types. See how effective Smart was against Millsap - that would totally throw me off my game, too.