Unless I’m missing something Baseball America no longer has 2004 minor league games played by position listed on their web site. You can (and should) buy the BA Almanac, which has all records by team for all minor league players and teams last year, but it does seem it would be easier to just open a file that has minor league GP info in it.
Here is a link to such a file. I won’t vouch for the accuracy. Certainly players in the low minors aren’t included here, so if someone has the almanac and it shows additional games, go with that.
But for a down and dirty quick look, this is the info I have on hand. So now you do.