When Danny is in the Renaldo's dressing room he is wearing one tie, he steps out into the hallway and his tie has changed, but by the time he gets back to the office, he is back in the original tie.
During the circus act with the Cubans, they are walking across the high wire with one on the other's shoulders. When the guy on top jumps off and toward the platform, the front of bicycle is facing away from them with the wire behind them. In the next scene, the front of the bike is now facing toward them, as is the wire. He has to physically pick up the bike and turn it around to ride across the wire.
When the visiting Chinese dignitaries' plane (United Airlines) touches down on the runway, the word "UNITED" is in capital letters. But in the next scene, when the plane is showing taxiing, "United" is in upper and lower case. Then, as the ground crew directs the plane, it's back to "UNITED" again. And, as the dignitaries disembark, the letters read "United."
The announcer says it is a THREE RING circus, but there is only ONE RING.
Wo Fat's assistant Mr. Chong ends up being arrested by Five-0 at the circus after the assassination attempt, but in the next Wo Fat appearance, 'Murder: Eyes Only', Mr. Chong is back by his side again, as if the arrest never happened.