Prone Attack (S&F, updated for 3.5 in Complete Warrior) allows, among other things, a stand from prone as a free action following a successful melee attack.
Several PrCs have a stand-as-free-action class ability - the Thief Acrobat in Song and Silence, for example, has the Kip Up ability, which allows this.
Oriental Adventures and the ELH give stand-as-free-action a Tumble DC of 35.
None of these explicitly remove the AoO incurred for standing from prone. However, almost all of them (save the 3.5 Prone Attack feat) were written for 3E, when standing from prone didn't provoke an AoO anyway, so it's understandable that they don't address the issue.
Check with your DM if he's willing to insert the phrase "and does not provoke an AoO" into one or all of those abilities.
As written, however, they change the action required (Move -> Free), without altering the fact that standing from prone provokes an AoO.
-Hyp.