For the bride in the buggy...be sure to focus on the bride, not the horse or driver!
And, for the cliche shot, after the ceremony, if the horse and carriage stick around, the bride and groom, looking out the back over the "just married" sign is usually on the obligatory list...yeah, I hate the "standards" but most every bride wants their pictures to look just like their friends wedding, only different...
you can also "borrow" the carriage driver's top hot, and any other prop's you might notice...putting the bit in the groom's mouth with the bride at the reigns might be pushing it though, but that imagery might just get you through the day with a smile/smirk to yourself...