These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Even Better Sequel: T2 is commonly held to be one of the best movie sequels of all time, and many fans prefer it to the original.
Fan Nickname: In the early days "Liquidator" was sometimes used as the moniker for the T-1000, but it never really stuck and today it has fallen into disuse.
Fridge Brilliance: Many viewers complained about the extra scene where the T-800 smiles awkwardly, saying that it made no sense for a machine with detailed information on human anatomy to have to scan an actual smile for reference. The Terminators have information on human anatomy, yes— but not on human emotions, and their programming couldn't have included any data on something the machines didn't understand in the first place (see also: "Why do you cry?").
It also helps to explain later, when the T-800 genuinely smirks. They actually laid the groundwork for Arnold's one-liners.
To be fair, this isn't helped by the fact that the scene explaining how the Terminator starts to learn is not present in the most common version of the film. The surgical scene - which also has an important moment with John asserting himself as the leader he's supposed to be - with the T-800 having his learning processes switched on explains everything about the T-800's development from thereon, including the weary "I need a vacation.." and his understanding of John's crying all comes from a scene not present in the original cut of the movie. It even justifies the machine's will to get back up after the beatdown from the T-1000, being more a matter of heart and the will to protect John than just the backup power conveniently coming on.
Harsher in Hindsight: Watching Sarah Connor struggle with her emotional instability is a lot harder in light of Linda Hamilton later admitting to suffering from bi-polar disorder in real life.
John Connor mentioning that the Russians are "our friends now." Wait until 2014!
Hell Is That Noise: The mixture of metallic screeching and animal screams that the T-1000 makes after being blown apart by the grenade.
Misaimed Fandom: An examination of a woman nearly losing her sanity and humanity due to being burdened with terrible, unfathomable knowledge is often mistaken for promoting feminist empowerment.
Narm: John's "acting human" lessons have really not aged well.
Visual Effects of Awesome: The T-1000 completely blew the audience's minds when Terminator 2 came out, and still looks amazing today. Terminator 2 and Jurassic Park are credited for the CGI revolution.
Woolseyism: The famous line "Hasta la vista, baby!" became "ˇSayonara, baby!" in the Spaniard dub. It became just as popular in Spain as the original in America.