Here are some just off the top of my head. To be honest though, there were fewer ACTUAL goodbyes that are well known then I thought. At least of the ones I know.
"May the odds ever be in your favor" (Hunger Games) "Live long and prosper" (Star Trek) "Hail to the king bay" (Army of Darkness) "If I am not back in 5 minutes, just wait longer" (Ave Ventura, Pet Detective) "If someone asks if you asks if you are a god, you say yes" (Ghostbusters) “This episode was BADLY written!” (Galaxy Quest) "Be Excellent to each other" (Bill & Ted's Excellent Adventure) "Hasta La Vista Baby" (Terminator) “Worst. Episode. Ever.” (Simpsons) “Goonies never say die.” (The Goonies) “My name is Inigo Montoya. You killed my father. Prepare to die!” (The Princess Bride) “Now I have a machine gun. Ho ho ho.” (Die Hard) "Make it So/Engage" (Star Trek) "With great power comes great responsibility" (Spider Man) Original Quote from the comic "With great power there must also come great responsibility" “Invention, my dear friends, is 93% perspiration, 6% electricity, 4% evaporation, and 2% butterscotch ripple.” (Willy Wonka) “I’m sorry, Dave. I’m afraid I can’t do that.” (A Space Odyssey)
"Never tell me the odds" - Star Wars "Perhaps today is a good day to die" - Star Trek "Schnickt/Bub" - Wolverine "Duck Tape is like the Force. It has a light side and a dark side and it holds the universe together." - I have no idea but it it's been bouncing around so long it probably goes back to when Star Wars was new "Baruk Khazad! Khazad ai Menu!" - Tolkien Dwarven battlecry "Tally-ho" - According to Two Towers, "Charge!" in Sindarin "Aku Soku Zan" - Saito, Rurouni Kenshin "SNAAAAAAAAAAAAKE!" - all the Metal Gears "War never changes" - the principle deceit of half a dozen games (at least Fallout and CoD) "Beam me up, Scotty" - usually attributed to Star Trek: TOS though its never actually said in the series "Vere are yur nukler wessels." - Star Trek IV "Life finds a way" - Jurassic Park "This is Ceti Alpha V!" - Star Trek II "KHAAAAAAAAAAAAAAANNN!" - Kirk's infamous orbital syke scream "From hell's heart I stab at thee." - Also Star Trek II "Why would God need a starship?" - A really good question from a not so good Star Trek V "Spooooon!" - Tick "but why is the rum gone?" - Disney's pirate thing
"...Pikachu, I choose you!" - Pokémon "...It's Over 9000!!" - Dragonballz "...Smoke me a kipper I'll be back for breakfast" - Red Dwarf "...Strange women lying in ponds distributing swords is no basis for a system of government" - Monty Python and the holy grail "...It's bigger on the inside" - Dr Who "...Do what I do. Hold tight and pretend it’s a plan!" - Dr Who "...Wait a minute, Doc. Ah… Are you telling me you built a time machine… out of a DeLorean?" - Back to the Future "...I am a fighter!" - Morgan Jenkins "...Never go in against a Sicilian when death is on the line!" - The Princess bride "...I am a leaf on the wind, watch how I soar." - Firefly "...Helllloooo Nurse!" - Animaniacs "...The Dude Abides" - The Big Lebowski "...TROLL IN THE DUNGEON! Thought you aught to know" - Harry potter "...I love the power glove. It's so bad" - the Wizard "...Hey Listen!" - Legend of Zelda "...TETSUO!!!" - Akira