Plot hole: The whole scenario is fake and everyone at the bar is an actor, so why would they call the real cops.
Suggested correction: To specifically get the cops involved so Neal feels more in danger. LIVE Corporation basically filed a false police report, which Wendy Colton said the cops can talk to the company's lawyers about.
Miami, We Have a Problem - S8-E15
Factual error: Ryan is stated to have a BS in organic chemistry, working on his Masters in Genetics when we first meet him. When Travers tells him the shuttle was leaking oxygen, Ryan corrects him and says "air", to which Travers has to correct him. ANY gen chem student learns that "air" is a mixture of oxygen, nitrogen, water, and a few other trace gases such as helium and methane. This is a pretty big blunder for someone who supposedly holds advanced degrees in Organic Chemistry and Genetics.
Delko for the Defense - S8-E11
Other mistake: Horatio: "Eric, the forensics expert cannot get cold feet." There was absolutely no reason for Eric to be nervous. IF he'd been a CSI all this time, he would be in court testifying about his evidence on a regular basis. CSIs ARE the forensics experts.
Factual error: CSIs in real life are not police detectives, nor are they beat cops. Crime Scene Investigators are just that: they're regular people, some with 4-year-bachelor's° in STEM fields, others completing Criminology Associate's degrees, who are ONLY responsible for investigating and gathering evidence at crime scenes and then serving as expert witnesses in court. In fact, they spend more time in court testifying of the evidence they collected than anywhere else. They don't interrogate suspects, nor do they chase them down and arrest them.
Factual error: In Natalia Boa Vista's backstory, she states she knew Horatio from her "work with the FBI." But not all FBI agents started as LEOs (law enforcement officers). In her whole time as a CSI, she wields a badge, makes arrests, and interrogates suspects just like a cop (the ONLY 3 characters we know for certain that were LEOs were Calleigh [the flashback episode with Horatio and Jesse], Eric [the flashback episode when Horatio tells Eric to "come see me when you finish the academy"], and Ryan Wolfe, who's fresh off beat patrol when he joins CSIs). In this episode she tells Calleigh she's late to her crime scene because she just picked up her new sidearm and "now I can back you up on crime scenes!" BUT, if she were already a cop she would have been issued a firearm upon graduation. Thus, Natalia (and Walter) were never cops. This show took severe liberties with reality. Real CSIs are no more than expert witnesses, NEVER given the responsibility of arresting or interrogating suspects.
Open Water - S4-E22
Continuity mistake: At the onset of the episode, we see the overview of the cruise ship with full sunlight, many women sunbathing on the deck, and people/staff walking around. We then hear "man overboard", and everybody on the ship's deck takes notice. Various people, including the ship's captain and the man's wife, then attempt to help the man to no avail. A few minutes later in the episode, Horatio and Delko are questioning the ship's captain about what happened and asked him about witnesses, etc. The ship's captain said "he didn't think that there weren't any witnesses around, as this happened around 6am." The ship's captain would have no reason to lie at this point, so this was totally inconsistent with the events shown just a few minutes earlier.
Plot hole: The pool boy's lawyer brings in the woman suing Fell and tells the judge that Sells saw her earlier and didn't recognize her when he should have. There is absolutely no way she could have known that.
Continuity mistake: When Eric and Natalia determine that their murder weapon is the top from one of the limo's alcohol bottles, the angle of the top in Delko's hands changes between shots, without him actually moving. (00:07:30)
By the Book - S10-E6
Deliberate mistake: When the CSI team reported to the island to find the dead body hanging upside down, they kept repeating how the body had been completely drained of blood. Yet, every time they showed the body, the jugular vein distention was very obvious. This could only occur in a live body or one still full of blood. Not a blow your socks off type of error but one very noticeable by anyone in the medical profession.
Rock and a Hard Place - S6-E19
Continuity mistake: When Alexx talks to Delko in the lab about her son, Delko's hands are resting on the fuming machine in front of him, then instantly on the table top. (00:29:05)
In the Wind - S8-E14
Continuity mistake: When Horatio leaves Dr. Bradstone's cell, after informing him that his wife was having an affair, Bradstone's arms change position back and forth from across his stomach to behind his head. (00:34:25)