By memorable, I mean that we remember 80-100% of the movie (plot, characters, music, etc). This may be that the movie had a deep impact on us, or we've watched it so many times, or both. (Or "memorable" would mean that even if we just remember parts of the movie, when we recall it, we'd say "Oh yeah. I remember that movie. I loved that movie!")
So here they are. (in alphabetical order)
18 again (1988. “I wish I was 18 again”… “By the light, of the silvery moon…”)
An American Tale (1986. "Somewhere out there...")
Back to the Future (1985. 1989. 1990. The adventures of Marty and Doc)
Bedknobs and Broomsticks (1971. “Traguna, Macoities, Tracorum Satis De." )
Big (1988. Tom Hanks and lots of toys!)
Chitty Chitty Bang Bang (1968. "Chitty chitty bang bang we love you")
Cinderella (1950. Cinderella, fairy godmother, evil stepmother, pumpkin ride)
Clash of the Titans (1981. Perseus, Andromeda, Zeus, Medusa…)
D.A.R.Y.L. (1985. Data Analyzing Robot Youth Lifeform)
Drunken Master (1978. Jackie Chan!)
E.T. (1982. “ET phone home!”)
Escape to Witch Mountain (1975. sequels: Beyond/Return to W Mountain. Alien siblings Tia and Tony)
Firestarter (1984. Pyrokinetic Drew Barrymore. "Back off!")
Flight of the Navigator (1986. a kid, a spaceship, an adventure of a lifetime)
Gremlins (1984. Cute but dangerous little creatures!)
Inner Space (1987. Dennis Quaid, Meg Ryan)
Krull (1983. prince to rescue his bride, a one-eyed giant, a cowardly magician, a flying 5-blade disk)
Little Shop of Horrors (1986. “I’m just a green green mother from outer space”…“Feed me Seymore!”)
Mac and Me (1988. puffy-cheeked whistling alien)
Mary Poppins (1964. “chim chimeney..”)
Masters of the Universe (1987. He-man. “Good journey”)
Robocop (1987. “Protect the innocent”)
Short Circuit (1986. The robot Number 5 has come alive)
Silver Bullet (1985. I wanted to have silver bullets and that motorcycle)
Sleeping Beauty (1959. Princess Aurora/ Briar Rose)
Snowhite and the 7 Dwarfs (1937. "Hi ho, hi ho...")
Splash (1984. Tom Hanks falls in love with the mermaid Daryl Hannah)
Star Wars (1977. 1980. 1983. Dit dit dit ditdirit ditdirit…. )
Superman I, II, III(1978. 1980. 1983. Of course)
Teen Wolf (1985. Michael J Fox is a werewolf. cool)
The Land Before Time (1988. Littlefoot, Cera, Duckie, Petri, Spike)
The Little Mermaid (1989. Ariel, Prince Eric, Flounder, Ursula. "Someday I'll be part of your world!")
The Princess Bride (1987. “As you wish!”)
The Sound of Music (1965. “The hills are alive…”)
The Ten Commandments (1956. Moses, Ramses, 10 plagues, parting of the
The Terminator (1984. Part 2: 1991.
The Wizard of Oz (1939. “There’s no place like home”)
Top Gun (1986. Tom Cruise flies a cool jetplane)
Zapped! (1982. You’ve got to believe in magic -- or telekentic powers ;-) )
**I changed this from original list of 10. Apparently, we remember a lot of movies. ;-)