Plot hole: Scar tells the pack he didn't make it to the gorge in time to help Mufasa. However Zazu was with them at at the gorge. He could have easily told Serabi or any of the other lions on the numerous times he spoke with them, exposing Scar.
Suggested correction: Actually, Zazu wouldn't honestly say that Scar was lying; he left Scar at the gorge, but for all he knows, when Scar talks about not getting to the gorge in time, Scar could just mean that he couldn't find a safe path into the gorge to help Mufasa and Simba escape.
So Scar would say he couldn't get to Mufasa in time. Not the gorge.
Other mistake: When Pumba is singing and they show him as a baby warthog farting in the water killing the butterfly, it is actually a baby Red River hog that is portrayed.
Continuity mistake: At the end, Scar walks opposite Simba on top of pride rock. He approaches the embers on the floor. We then see him approach the embers again from a greater distance.
Revealing mistake: Numerous time in the film the animals walk from shade into sunlight without their eyes reacting.
Continuity mistake: When Mufasa has to teach Simba a lesson it's still very light all around. By the time Simba walks up to him it's almost dark.
Audio problem: Near the start when Mufasa says "let me explain" to Simba his mouth doesn't move.