Hi Kas,
We didn't play any games at my Hen Night, but I went to a friends back in April 2005. They had all sorts of 'safe' games depending I suppose on the attitude of the bride and her immediate friends/family.
We had things like a quiz, all answers related to how well you knew the bride, i.e. what time was she born, favourite foods etc. We also played a game with different cooking things in sandwich bags, so a bag of flour, cornflour, suet, baking soda etc and who ever got the most won a prize (there were little prizes for each game, silly hats, tiara's, feather boars etc). We also played a "Who am I" game which was silly, a nappy game (they had a dozen nappies all smeared with things, peanut butter, marmite etc - guess what it was type thing).
I'm sure if you do a google search you'll come up with some crackers. I echo what Tan said about the Anne Summers games if the bride would enjoy that type of thing - I guess the games have to be tailored to the group (esp. Bride) and their tastes. Pointless organising a shot drinking game if the bride hates anything other than wine or fruit juice!!
Good luck with it I hope it's a really fun evening.
Nicola xx