I made an alternative to the jousting rules as presented in Scion, Songbird, Sabateur, which worked very well in out session, based more heavily upon historical jousting.
Weapons - Both sides are using practice lances which are blunted and deal non-lethal damage only and do not deal x2 damage on a charge unless they hit their opponent in the head.
Both competitors ride to opposite ends of the tilt, turn, salute, and charge. They then must:
1) Make opposing ride checks - The one with the higher ride check gains the +2 charge bonus on their attack roll and a +2 circumstance bonus on their damage roll.
2) Both sides choose to aim for the body (Normal AC) or the head (AC+5, as per called shot rules) of their opponent.
3) Both sides make their attack rolls, with anything less than the AC of their opponent glancing off, and hits shattering the lance and dealing damage as normal.
4) Any character struck must make a ride check with a DC equal to the amount of damage received or be knocked from their horse.
5) They repeat until they have done this a total of three times or the match is ended early by one competitor being unhorsed, or one competitor withdrawing.
Scoring: 1 point for breaking a lance against the targets chest, 2 points for hitting the head (harder target) and three points for unhorsing your opponent. If a competitor is knocked unconscious or killed, they automatically fall from their horse. If a competitor rolls a natural 1, they become tangled in their equipment and fall during the charge. If both competitors are unseated on the same charge (regardless of reason) they then continue the fight on foot dealing non-lethal blows only (taking the -4 penalty if they don't have a blunted weapon with them) until one side is knocked unconscious or surrenders.
If you unhorse your opponent (and aren't unhorsed at the same time), you can choose to claim their horse as a prize or leave it with your competitor. If you choose to take their horse, your competitor has the option of paying fair-market value in ransom instead.
Matches are bracket-style elimination, with draws being determined between gentlemen as to whom will withdraw, or by charging again until one side scores. There is time given between facing each opponent for competitors to rest up and have all non-lethal damage healed.