As far as movies go, the new Indiana Jones movie isn't terribly sexist. It has strong female characters in Cate Blanchett's Irina Spalko and Karen Allen's Marion Ravenwood... but they're the only female characters at all. It's a 100% ratio of strong female characters, but there's not much else to go off.
Does it pass the Bechdel test? Well, there are two female characters - check; do they have a conversation - no; is it about something besides men - no. Unfortunately.
Marion Ravenwood is pretty badass, even from Raiders of the Lost Ark. Indy sometimes talks to her in a patronizing manner, acting as if she's overly emotional. It wasn't horrible but it was annoying enough that I noticed. However, considering a lot of the movies and female characters out there, Marion's leaps and bounds ahead of other characters. She doesn't need to be rescued and she can hold her own. If the only annoying sexist part of Indiana Jones was that he was a little patronizing, I can deal with that.
Here's Women & Hollywood's take on Marion Ravenwood. Also, Karen Allen was once considered for the role of Princess Leia. I love her even more. If anyone wants to buy me the Indiana Jones boxed set, I would gladly accept that gift.