Continuity mistake: When the Krill shuttles land, they park on either side of the entrance to Epsilon station, but when the Orville crew are escaping, the Krill shuttles are gone momentarily (during the firefight), only to return to their proper places a moment later as the Orville shuttle takes off. (00:33:40)
Continuity mistake: Lt. Malloy has his lower left leg amputated in Isaac's attempt at practical humor. When they later find the leg, it's not just a lower left leg, but an entire left leg (upper + lower). So either Malloy regrew half a leg in the course of a single night, or they forgot to tell the prop department to only make a lower leg. (00:26:35 - 00:30:20)
Visible crew/equipment: Right after the opening credits, when Dr. Finn tells Bortus, "I will not perform a sex change on a perfectly healthy newborn," the camera pans to the left as she walks to her desk, and the yellow T-mark can be seen on the floor in her office, where Bortus will stand. (00:03:25)
Character mistake: After Mercer's speech to the entire crew he dismisses everyone except for the senior staff but everyone, including the senior staff, starts walking away as if they were dismissed as well.
Character mistake: The radiation on the planet's surface is a problem, and the exposure between the shuttle and the entrance to the underground caverns is specifically highlighted as the main risk. And yet when landing the shuttle, they land facing towards the entrance with the ramp behind them, making the exposure time much longer than it has to be.
Continuity mistake: Ed's office is located directly behind the right-hand side of the bridge (ie. the side of Kelly's chair, and Bortus and Talla's stations). Ed's office has a prominent window as well. Yet during the closeup flyby of the bridge in this episode at about 55 minutes, the camera pans past the outer hull of that section and there are no visible windows. At that close range we should be seeing directly into Ed's office. Perhaps the digital model makers forgot there should have been a window there.
Other mistake: This comes up in other sci-fi scenarios too - the shuttle is heading down to the planet's surface through heavy cloud cover/disturbances. Everyone acknowledges it'll be a bumpy ride, and the flight down is very fast and tense, trying to keep track of escorts, etc. But there's no need for it to be a fast entry. Their ships aren't aeroplanes which have a minimum speed and have to keep moving forwards. They could just hover and lower slowly through the clouds at a safe speed.
Continuity mistake: When the crew is working to disable the device helping Pria to hijack the Orville, the Chief drills a hole and creates a great deal of metal/material shavings on the top of the device, which disappear. The device is also aligned differently in respect to the components of the Orville's circuits from the Chief's drilling shot to Isaac's probing shot. (00:34:21)
Continuity mistake: The remote control device installed into the Orville's circuits is shown several times through the episode. When Isaac is beginning to send his leads into the device the corners of the right end of the device are about 1/2" - 1" past the intersection of various block shaped components of the Orville's circuits. However, just moments prior, when the device is shown in place in the same circuit, the corners of the right end of the device line up perfectly with the corners of those same block shaped circuit components as evident by the slivers of light shining between the very thin slit formed where the two sets of corners align. (00:34:15)