Continuity mistake: Belloq, Dietrich, and Gobler arrive next to the destroyed Flying Wing and begin to walk towards the intact wing, while Dietrich says, 'Have it put on the truck.' In the next shot, the Flying Wing and the entrance to the Well of Souls have disappeared from view (instead of the latter, you now see the hut where Pat was). In addition, some barrels suddenly appear between shots, next to which the three antagonists stop. (01:20:59)

Continuity mistake: When the Nazis board the Bantu Wind, there are some shots of the pipe Indy is hiding in. During these shots, there's a big grey pipe right behind Indy's pipe. However, in the rest of the Bantu Wind shots, this grey pipe is on the left of Indy's pipe, not directly behind it. (01:36:19 - 01:37:05)
Continuity mistake: At the beginning of the movie, Ted Grossman runs away. Then Indy, Satipo and Barranca enter the scene. In the next shot, the position of Satipo's arms has changed. (00:01:38)
Other mistake: While the fire is falling into the Ark, one shot before it closes, two lids can be seen at the same time. The first is on the floor of the Altar, with the two golden angels on the lid being very visible (the one on the left is the most visible), while the second lid is the one falling from the sky.
Continuity mistake: Just as the ghosts fly out of the Ark, a soldier can be seen on the left side of the altar, with nothing in his hands. Two shots later, that soldier is now carrying a banner.

Continuity mistake: As the ghosts dance around the pole to which Indy and Marion are tied, large clouds can be seen in the sky behind them. However, after a ghost circles Dietrich and passes in front of the camera, it can be seen in the background that the clouds behind Indy and Marion have disappeared.

Continuity mistake: As the ghosts dance around Dietrich, Belloq, and Toht, the Frenchman slowly looks up as the column of mist ascends upwards from the Ark, almost looking straight ahead. In the next shot, Belloq is looking down again; the shape of the mist has changed, and the column of mist is now moving to the right.
Continuity mistake: When the portal opens over Geheimhaven, you can see that in the sky and inside the portal there are a lot of blue clouds. Two shots later, in the shot inside the portal when the fire turns on itself, the clouds have disappeared and the portal's interior is now the normal night sky (black and with one star visible).
Continuity mistake: When the Ark is 'sucking' all the fire, the klieg on the left of the screen points towards the altar. Two shots later (and after the Ark closes), that klieg points towards Indy and Marion.
Continuity mistake: In the Well of Souls, Indy and Sallah place the Ark in the box. Indy closes the box with a wooden lid and looks up. In the next shot, a torch has appeared in Indy's hand, a rope has appeared, tied to the four sides of the box, and Sallah has appeared next to Indy's left shoulder. In addition, the box is already several metres above Indy and Sallah in the second shot. (01:09:43)
Suggested correction: There is an obvious time jump between the shots. They simply decided not to spend ten minutes showing all the details of sealing the box and tying the rope around it.
I wouldn't say this was a deliberate time jump, as they show Indy carefully and slowly placing the Ark in the box, then sealing it. In addition, when he looks up, he immediately says, "All right... take it up! Easy!" so it's clear this is a continuity mistake.
He says, "All right. Take it up" after the cut. Yes, he does look up before the cut, but since everything else is different, we are supposed to interpret it as a jump in time.
In fact, almost nothing changes between these two scenes, except for these small but clear details.
There's a deliberate jump in time between these two shots, and this transition is done creatively. First, we're below with Indiana as he places the lid on the crate and looks up toward the top entrance; it then cuts to the entrance POV, and now we're looking down as the tied-up crate is being lifted. The jump in time between these two shots is transitioned using a type of match cut. Absolutely no mistakes regarding these two consecutive shots.