I'd say more like Last Crusade, in the sense, despite finding the Macguffin quite early, they still have to go a long way until they find the chamber at the end to replace the Skull, and Crusade has the Grail chamber at the end. Both the grail and skull are pretty much useless unless in their required "resting" places. In TOD they don't really have go go thru a big adventure over various locations, they spend most of their time in the Palace and its mines.
As for the feeling over the overall film I'd say Temple of Doom, because it is rather cartoony like TOD.