Ok - this might be a dumb question, but is "back dat a$$ up" an actual song or is that just a generic phrase for generally sexual "booty poppin'" club music?
I kind of disagree with Tanya, but I think that it's really going to depend on generational differences and regional differences, too. The last wedding I went to (with the crappy DJ), had around 120 guests and I'm betting 100 of them were under the age of 35 max...most were probably under 30. All white kids who grew up in New England. If the DJ played Cotton Eye Joe, I bet NO ONE would have gotten up....but typically that's a pretty safe dance song. The DJ played a handful of what I might consider "Back Dat A$$ Up" songs, and that's the only time more than a few people were up dancing. He'd play stuff like September by Earth Wind and Fire or "Twist and Shout" and like 8 of the bride/grooms aunts would dance and then he'd play something by Pit Bull and 50 people would get up. And then he'd ruin it by playing a Queen song. WHO DANCES TO QUEEN???
But, I have a feeling that at the wedding SoCrafty describes, the opposite might be true, lol. The people who went to my FIL's 2nd wedding he had at age 52 are going to have drastically different taste in music than our 25 year old cousin's guests. A wedding in LA or NY is probably going to play pretty different music than a wedding in a small town in Georgia.
I think you need to play the music YOU and your husband like, with guests in mind. I'm not going to be playing my favorite mongolian throat singing album at my wedding, even though it's what I'd want to hear, because NO ONE except me and my two best friends care about that. But there's also pretty much no chance in heck I'm playing any song that came out in the 70s or 80s, because that's before my time and I probably hate it and I don't care if it's what my 7 aunts and uncles want to hear/dance to.
I think group dance songs SHOULD be safe depending on your audience. If your wedding is half your indie music snob friends and cousins, they probably aren't going to do the Electric Slide. But when I worked for a DJ company stuff like that usually got someone in a mixed-age crowd going.
I think playing songs from when you guys were growing up....like the songs you danced to at your middle school dance or prom or sang on the bus with your friends every day in 5th grade are a good bet, or the songs you listened to a lot when your first met. That might not be the best idea if the wedding is all older family though.
As for censorship.....I've only been to a few weddings and I don't really remember if the music was censored, but working for a DJ company I think we always asked...and usually unless it was a wedding with a lot of kids in attendance the bride asked for unedited stuff.