In Asia there are an Ivy Balls (just google) hosted by Ivies. They do invite some schools, but they are limited to few seats. I know it may be silly to some, but a lot of business connections are made there.
My brother recently was interviewing for a club (one of the oldest, less than 500, yada yada) and they asked him where he went to school and where he lived. They didn’t ask him where he worked. Not everyone’s cup of tea…