As Zack is break-dance fighting the Putty Patrollers, his left shoe gets untied, in the next scene, still fighting the Putties, his shoe is tied again.
When an image of 1990s Kat is used in the ending title sequence, it's from Turbo, NOT Mighty Morphin.
The Black Ranger's Power Ax has a sliding piece near the blade that is moved to the base of the handle to convert it to cannon mode. Zack uses the Ax in cannon mode without ever moving this piece.
When Rocky is teleported to the Command Center, he is seen carrying his helmet and wearing bunker pants (aka turnout pants): heavy, fireproof pants with suspenders. He complains to Alpha that he just finished heating his lunch when teleported away. Firefighters do not wear their fireproof gear all day, as it is heavy and uncomfortable. They only put it on when called to go fight fires. Rocky is only wearing his firefighting gear to indicate to the audience what his job is.
The second time Minh unsuccessfully tries to use Trini's Power Morpher, it is open. The morpher is only supposed to be open when activated.
Before the portal is destroyed, the past Rita says, "After 10,000 years I'm free! it's time to conquer Earth." This was something she only said in the opening credits of Mighty Morphin Power Rangers. In "Day of the Dumpster", she gasps as she emerges from the space dumpster, but her first line is an insult directed at Baboo.