1. Tank Chase from The Last Crusade: I have to agree with what Darth Vile said, this is, quite simply, one of the greatest action set pieces ever created. Is as if the creators of the film, sat down and said, "Ok, we have these characters and this tank. Name every single idea that can possibly be used!" Its creative, inventive, kinetic, and so damn fun to watch.
2. Truck Chase from Raiders of the Lost Ark: What more can I write about this scene that hasn't been said before? Its the Raiders Truck Chase. Its a masterstroke of storytelling and stunts. Its has tension, suspense, laughs...everything.
3. Young Indy Chase from the Last Crusade: I've already explained why I love this intro so much in various other "Favorite opening scene", so I wont go into further detail really. It just has this magical touch that combines every reason Last Crusade is my fave Indy movie.
4. Mine Cart Chase from Temple of Doom: Its really incredible how well this holds up 25+ years later. Its a literal roller coaster of emotions, and it showcases one of Temple's finest gifts: Red. The colors throughout the film are truly magnificent; each frame is like a pornography of cinematography. The true gem out of a stellar, exciting 3rd act.
5. Motorcycle Chase from The Last Crusade: A very free-willing, light-hearted chase. There's isn't any sense of danger, but it has all these great Indiana Jones moments: John Williams' score, Indiana Jones as a knight symbolism, Henry Sr. not letting Indy have any sense of accomplishment, and that AWESOME motorcycle flip.
6. Venice Boat Chase from Last Crusade: A cool scene thats down here because the other five are simply better. It does have a couple of odd moments despite all its otherwise badassness, like the anticlimactic ending and the fact that those boats didnt exist back in the 1930s.
7. Jungle Chase from Kingdom of the Crystal Skull: We finally get to a Kingdom set piece. I think this might actually go above the Venice Boat Chase. One of my fave shots in any Indy film is when the camera focuses on the Commies firing into the jungle, and then the trees stop and BAM Indy leaps across the jeeps. And when Shia and Spalko sword fight on the jeeps with John Williams' great "Jungle Chase" hits its stride, I always have this huge smile on my face.
8. Warehouse Chase from Kingdom of the Crystal Skull: When I first saw this scene back in May 22nd, I was like "Hell yeah, Indy is back, niggas!" out loud. Its just vintage Indy, but its also feels like an update with the nice use of CGI and old Indy not doing everything he used to do 19 years ago. I'm sorry, but I really liked Ray Winstone in Kingdom, and his "You don't know him!" line was great. A nice use of vertical action as well.
9. Shangai Chase from Temple of Doom: A pretty short scene, I don't even know if it counts. The best part of the Temple of Doom opening had past, thats for sure.
10. College Chase from Kingdom of the Crystal Skull: Much like the above, this is only moderately awesome. Stupid Marcus joke and a overall lack of excitement down an otherwise decent scene. But its cool seeing Harrison Ford do his own stunts at 65 years of age.