Just to get this off our chest and establish some ground rules, here are the canon policies for each franchise that we'll be using on this site.
Movies and TV Shows, just like CBS and Paramount's canon policy. The only TV show that will largely be considered non-canon is The Animated Series, given that a lot of it contradicts what was shown in the live-action series. The only exception to this rule is the episode "Yesteryear", which was considered canon by the production staff, even after the rest of TAS was rendered non-canon.
The only other exception to this rule is the MMO Star Trek Online, given its "soft-canon" status. Meaning that, unless contradicted by movies and TV shows, the storylines, NPCs, starships, technology, and lore of STO are canon. Game mechanics (such as the 10 km weapons range), player characters, and player interactions, however, are not.
Also, the J.J. Abrams films are NOT a reboot, as Tyralak has explained. They take place in a parallel universe to the main Star Trek universe, albeit one that was linked by an Einstein-Rosen Bridge, and didn't split off until Nero's time-travel adventure. Thus, the events that happen in the films Star Trek XI, Star Trek Into Darkness, and Star Trek Beyond are taken as canon, for depicting that parallel universe (as well as any events that happened in the Prime Universe, like the Hobus Hypernova which destroyed Romulus, and the crashing of the USS Franklin, which technically happened before the split, and as such, happened in both the Prime and JJ universes).
Canon (bold indicating movies):
Star Trek: Enterprise
Star Trek: The Original Series
Star Trek: The Motion Picture
Star Trek II: The Wrath of Khan
Star Trek III: The Search for Spock
Star Trek IV: The Voyage Home
Star Trek V: The Final Frontier (maybe - I've heard some mixed things about its canon status)
Star Trek VI: The Undiscovered Country
Star Trek: The Next Generation
Star Trek: Deep Space Nine
Star Trek: Generations
Star Trek: Voyager
Star Trek: First Contact
Star Trek: Insurrection
Star Trek: Nemesis
Star Trek XI
Star Trek Into Darkness
Star Trek Beyond
Star Trek Online
Star Trek: The Animated Series (with the exception of the episode "Yesteryear")
Movies and TV Shows, again, but this time we get a little more. After the Disney-pocalypse of 2014, the entire Star Wars Expanded Universe was rendered non-canon, leaving only the then six movies and The Clone Wars cartoon as canon. Specifically, they were left as the Core Canon, to which all new entries in the franchise must be consistent with. However, all products made AFTER the Disney-pocalypse are canon. Example: while the "Thrawn Trilogy" novels are no longer canon, the character of Grand Admiral Thrawn IS, as he was introduced as the Big Bad of Season 3 of Rebels. However, his story is the one shown in the new EU, such as in the novel "Thrawn", where we learn that his exile from the Chiss Ascendancy was actually a ruse, and that he was placed as a mole in an attempt to ascertain the potential of the Empire as an ally for the Chiss, to help defend against whatever threats were lurking in the Unknown Regions. Thus, while things like TIE Defenders, Interdictor Cruisers, and others are canon now, it's the versions depicted in the new books/movies/TV shows/video games/whatever that tell the "real" story of how they came to be.
Star Wars Episode I: The Phantom Menace
Star Wars Episode II: Attack of the Clones
Star Wars: The Clone Wars
Star Wars Episode III: Revenge of the Sith
Star Wars: Rebels
Rogue One: A Star Wars Story
Star Wars Episode IV: A New Hope
Star Wars Episode V: The Empire Strikes Back
Star Wars Episode VI: Return of the Jedi
Star Wars Episode VII: The Force Awakens
Star Wars Episode VIII: The Last Jedi
Star Wars Episode IX
All books, video games (minus game mechanics), comics, and such made after April 25, 2014 are also canon (provided they're consistent with the movies and TV shows - which is why the Star Wars Story Group exists now, to ensure consistency).
Non-Canon: All books, video games, comics, and such made before April 25, 2014. And yes, this non-canon status applies to The Old Republic, as well.
This is the Canon Policy for ASVS regarding the two franchises. Take any objections to this policy to the Complaints Department.
The Complaints Department, dealing with some complainers: