Lets begin by trying to quantify Indy's abilities in comic terms or close their to. Intelligence wise he has what comic reference books would call a genius level intellect, as he speaks like 8 languages and holds half a dozen or so degrees. Has a vast knowledge of the occult(may including some limited spell casting) and history, as well as military training and wisdom gained through a life time of adventure. He also seems to have built up low level mental(perhaps magic) powers at least in the area of resistance to harm and influence, it is unknown whether this is magic based or mental discipline mind of matter sort of thing. In terms of physical durability he either has low level superhuman or mid-level superhuman depending on how you choose to interpret the films. Besides the obvious getting beat up and shot, drug under trucks, burned, pummeled etc. We also have an instance were he appears to submerge with a submarine and fall off a cliff with a tank. In terms of his physical strength it appears to be close to peak human he is able raise himself up just hanging from his toes, lift grown men with one arm, and knock out multiple opponents with a single blow. His reaction time in terms of quick draw is also close to low level superhuman in Raiders he manages to get his whip out, uncoiled, and attack a man behind him with it before the man can pull the trigger of a gun already pointed at Indy's head. Also in the shoot out in Maryann's bar he switches between two different weapons in a matter of seconds manage to conceal the one not in use in the process. In terms of his fighting ability its more of a brawler boxer type concentrating more on power then speed. In comic terms it would likely fall into the some experience or master of a single form unarmed combat as he was trained by the military. He may in fact be proficient in more then one style he seems to use a mix of boxing and wrestling with a little something else mixed in. In the movies it was enough for him to take on a large group of Thuggee martial artist and in the books he took on a squad of elite highly trained SS officers. in fact at least an academic knowledge of Oriental martial arts would not be surprising. While he obviously does not have Batman agility or dexterity he is no slouch in these departments either, as evidenced by his avoiding traps and out running locals of broken terrain on their home turf. So lets break this down even more.
Intelligence: genius level Intellect
Durability; Superhuman/regenerative
Dexterity/Agility; He poses the average dexterity/agility of a man of his age and build that in engages in extensive none acrobatic activity.
Mental/Magic Powers; Limited some Resistance to influence and injury and limited spell casting ability as well as a vast knowledge of the occult.
Strength; Average(of a man of his age and build that in engages in extensive activity) to peak human.
Fighting Ability; Experienced fighter, skilled in at least a single form of unarmed combat
Oh yeah and he is not only damn lucky, but he is also a chosen warrior of God.
The Nazi war machine declared war on him and he won, can even Captain America make that claim?