I really like a product called "Blue Steel". Doesn't stain clothing like Body Glide and lasts and lasts (a little goes a long way). Smells good too!
I do use Body Glide on my feet before races.
I use Aquaphor. Essentially like Vasoline, but I like the little squirt tubes it comes in.
For nipples, I have a box of little round band aids. My wife likes to make fun of me when I forget to take them off.
Has Broken Parts
For really long runs I use nu-skin on my nipples and that never fails. Body glide down south and between my toes.
"Address the process rather than the outcome. Then, the outcome becomes more likely." - Robert Fripp
Strict WTF adherent
2 in 1 compression shorts. They look like regular shorts but have compression shorts underneath. Much better than the usual liners. Body glide for whatever the compression shorts can't fix.
I just use the cheapest solid stick of deodorant I can find. I put it wherever I might chafe, which is usually on my back where the top of my tights or shorts hits and underneath my sports bra.
It works great and it's a lot cheaper then name brand Body Glide or Anti Chafe products