(Not all of these are practicle but I'm brain-storming here.)
The Bride could get a piercing in place of the traditional ring.
Or if her labia is already pierced with loops, they can be padlocked together and the key given to the groom as a sign of her being owned by him.
In the Darkover books - both the bride and groom put on wrist-cuffs with a hook in one and eye in the other and they linked themselves together as a sign of their bondage to each other. The couple could have to be chained together for the reception.
Instead of a receiving line, the bride can be bent over and every guest takes a single swipe with a soft whip or skinny belt.
Instead of the groom simply shooting the garter at the guys - a condom is attached. Who ever catches it gets to take the bride into a room and have his way with her as a sign that her body is now her husbands to use/give. (Or this could be a treat for the best man).
At the reception - the bride serves the wedding party food and drink.
Bride wears a ball-gag during the ceremony and the groom removes it (instead of lifting her veil) so she can say her "I do" line.
At the reception, instead of guests signing a guest book the bride is tied spread eagle and guests write on her exposed skin. Her attendants cut away/remove more of her clothing as space is needed.
Instead of a guest book, guests write their names on clothspins which are threaded on a string and attached in a Zipper to the bride. This goes on until all guests arrive raise their champagne glasses and the new groom yanks the string to signal the start of the festivities. (This should discourage the bride from inviting too many people)
At the reception, the bride lays on a table naked and sushi roles are put on her body. Guests are invited to eat the food off of her.
The bride as sushi-plate is repeated but she has blocks of ice under her and she wont be released until all the sushi is gone. She has to plead with guests to eat the food by promising sex acts she will perform for them/hubby. Or she buys their eating of the food by agreeing to "X strokes with instrument Y on body part Z". These Punishment Promises are put on folded pieces of paper in a jar. Over the first year of marriage hubby uses the punishment jar for their sessions.
Instead of a money dance - bride is tied up and attendants take money and pin the bills to her breasts. Then for the first dance she is released and held in a tight embrace. Or the money is attached to clips which are then attached to labia and breasts. This continues until she uses her safe word, but she still has to do the first dance with the clips attached. You could even 'sell' places on the bride for the clips: $20 for the labia, $10 for the breasts, $5 elsewhere.
(Cannot think of anything kinky for when guests tap their glasses or serving of the cake.)