I'm not precisely sure of the the definition of Pulp and how it relates to Indy, but heres what I'm looking at:
I'd like to run a campaign with a single player (perhaps two) that is set in the early 1940s, where the Pcs are agents employed by the Vatican to protect/Retrieve/ Locate priceless religious artifacts that the Nazis (and other nefarious groups) seek for occult or art value.
Clearly the above smacks of Indy. I see it being a swashbuckling, death defying, doing crazy stuff campaign. Again much like Indy.
My inspiration is Stephen Lawheads, Celtic Crusades series, and obviously, er, indy.