The early 1980ies sci-fi scores by James Horner:
Aliens
Star Trek II: The Wrath of Khan
Star Trek III: The Search for Spock
Battle Beyond the Stars
and even some of his newer works:
Titanic
Patriot Games
Avatar
Some great scores by Jerry Goldsmith:
Total Recall (the 1990 original film)
Star Trek: The Motion Picture
Star Trek V: The Final Frontier
Star Trek: First Contact
Star Trek: Insurrection
Star Trek: Nemesis
Deep Rising
The Ghost and the Darkness
(Sorry to say that here, but Alien was not his best work to be honest - it was also to most parts recycled stock music from another production
)
John Carpenter:
Escape from N.Y. (and it's terrible sequel Escape from L.A., but the score was still top notch!)
Halloween series
Christine (not the Rock'n'Roll stuff, but the original score by Carpenter himself)
Many formidable works by Akira Ifukube:
Godzilla (the 1954 original film)
Radon
The Mysterians
Varan
Battle in Outer Space
King Kong vs Godzilla
Mothra vs Godzilla (the 1964 original film)
Ghidorah, the Three-Headed Monster
Invasion of the Astro-Monster
Godzilla vs Mothra (the 1992 remake film)
Godzilla vs MechaGodzilla (the 1993 remake film)
The Little Prince and the Eight-Headed Serpent
Chushingura/47 Ronin (the 1962 original film)
The Birth of Japan
Osaka Castle Story
The Adventure of Kigan Castle
Samurai Saga
Tokugawa Ieyasu
Daisatsujin
Tear Down those Walls
Ice Wall
Buddha
The Great Wall
The Japanese Archipelago
Jochukko
Scoundrels of the Sea
The Sakuma Dam trilogy
The Courageous Man from Suruga
Frankenstein vs Baragon
The War of the Gargantuas
Latitude Zero
Undersea Battleship
The Daimajin trilogy
Whale God
Yagyu Confidential (and the sequel Ninjitsu)
and some of his Zatoichi stuff from during the 1960ies
Masaru Sato:
Yojinbo
Sanjuro
The Hidden Fortress (the 1958 original film)
Throne of Blood
Red Beard
Samurai Pirate
The H-Man
The Abominable Snowman (the 1955 japanese film)
Submersion of Japan (the 1973 original film)
Ebirah, Horror of the Deep
Godzilla vs MechaGodzilla (the 1974 original film)
The Battle of the Japan Sea
Japan's Longest Day
Kill
Samurai Banners
Red Lion
The classic western works by Ennio Morricone:
The Good, the Bad and the Ugly
Once Upon a Time in the West
A Fistful of Dollars
A Fistful of Dollars More
And several scores by various composers:
Predator (Alan Silvestri)
Predator 2 (Alan Silvestri)
The Abyss (Alan Silvestri)
Star Trek VI: The Undiscovered Country (Cliff Eidelman - He should've made an Alien soundtrack btw
)
The Terminator (Brad Fiedel)
Terminator 2: Judgment Day (Brad Fiedel)
True Lies (Brad Fiedel)
Conan, the Barbarian (the 1982 original film; Basil Poledouris)
Conan, the Destroyer (Basil Poledouris)
The Hunt for Red October (Basil Poledouris)
The Neverending Story (Klaus Doldinger)
Das Boot (Klaus Doldinger)
The Seven Samurai (Fumio Hayasaka)
The Prophecies of Nostradamus (Isao Tomita)
Zatoichi and the one-armed Swordsman (Isao Tomita)
Jurassic Park (John Williams)
The Lost World (John Williams)
War of the Worlds (John Williams)
War Horse (John Williams)
The Empire Strikes Back (John Williams)
Star Trek Into Darkness (Michael Giacchino)
Cloverfield (the film itself has no score at all, but the end credits featuring a wonderful Ifukube-esque overture by Michael Giacchino)
Interstellar (Hans Zimmer)
The Ring (the 2002 US remake; Hans Zimmer)
Tron: Legacy (Daft Punk)
The Fountain (Clint Mansell)
Requiem for a Dream (Clint Mansell)
Alien vs Predator (Harald Kloser)
The Day After Tomorrow (Harald Kloser; ceated at the same time as the AvP score btw
)
Predators (John Debney, great recreations of Silvestri's original themes)
Prometheus (Marc Streitenfeld)
Event Horizon (Michael Kamen)
Godzilla (the 2014 US reboot; Alexandre Desplat)
The Ghost Writer (Alexandre Desplat)
The Last War (Ikuma Dan)
Gorath (Kan Ishii)
Godzilla vs Megalon (Riichiro Manabe)
Bloodsucking Rose (Riichiro Manabe)
Crest of the Wolf (Riichiro Manabe)
Kagemusha (Shinichiro Ikebe)
Ran (Toru Takemitsu)
Godzilla x MechaGodzilla (the 2002 remake film; Michiru Oshima)
Gamera 2: Advent of Legion (Ko Otani)
Gamera 3: The Incomplete Struggle (Ko Otani)
Godzilla, Mothra and King Ghidorah (Ko Otani)
Nausica: Valley of the Winds (Joe Hisaishi)
Princess Mononoke (Joe Hisaishi)
Sonatine (Joe Hisaishi)
Yepp, a plentiful stuff (and many obscurities, too)