Went through BMT in '99, so perhaps things have changed. But I meant non-leadership (student, TI, or otherwise) inspired things.
Generally at night after the TI's had departed stupid things happened. We sang, ran around naked, and other assorted embarrassing things that are only appropriate in a training environment, but generally make it easier to get through. Did you not have those occurrences at BMT?
OTS we had hats, painted a rock repeatedly, sang... and had those stop march step things. Which were glorious because we could annoy faculty with them.