Obviously personal stories about the groom are good...and they can be embarassing though there is a line that should not be crossed. Specifically it's OK to embarass the guy but if they story is going to directly or indirectly embarass the bride - leave it in the vault.
Even better is if you have a funny story about the couple. When I gave a bestman speech I had a little story about the groom's inability to remember the bride's name when they first started dating. It was a good story to use as it involved both people.
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