Ports to 1980s home computers *only* are listed separately at the bottom.
Initial list compiled based on the hard work of fans at shmups.com, wikipedia, youtube, KLOV and hardcoregaming101.net - cheers!
Where a game is followed by one or more asterisks, please refer to footnotes.
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19xx: the War Against Destiny (GameTap only)
1944: the Loop Master (GameTap only)
1945k III
Air Attack
Air Duel
Air Gallet
Air Raid / Cross Shooter
Arbalester
Ark Area
Armed Police Batrider
Armed Police Unit Gallop
Ashura Blaster
Battle Bakraid
Bermuda Triangle (World Wars)
Black Heart
Blast Off
Blue Hawk
Bombs Away
Boogie Wings
Brave Blade
Change Air Blade
Cutey Fatty
Cybattler
Cyvern: The Dragon Weapons
D-Day: The Last Day
DaiohDangar - Ufo Robo
Dangun Feveron * (but just announced for PS4, ETA winter 2017)
Dariusburst Another Chronicle
Desert War
Diet Family
Dimahoo
DoDonPachi II: Bee Storm
Dogyuun
Double Wings
Dyger
Eight Forces
Equites
ESP Ra.De. *
Explosive Breaker
Final Star Force
Finalizer - Super Transformation
Fire Barrel
Fixeight
Flower
Flying Tiger
Funky Bee **
Gaia: The Last Choice of the Earth
Galmedes
Gigandes
Gratia - Second Earth
Gulf Storm
Gulf War 2
Gunnail
Hammer Away (unreleased )
Hacha Mecha Fighter
Hotdog Storm
Ibara Black Label
Koutetsu Yousai Strahl
Lethal Thunder
Lightning Fighters/Trigon ***
Lock On
Macross Plus (because the PSX Macross Plus is a different game)
Mad Shark
Meta Fox
Metal Hawk
Mission 660
Mission Craft
Mystic Riders
NebulasRay
Nostradamus
Nova 2001
Omega Fighter/Omega Fighter Special (fundamentally the same game)
Out Zone
P-47 Aces
Pilot Kids
Plus Alpha
Pollux
Progear No Arashi*
R-Shark
R-Type Leo
Rafflesia
Rapid Hero
Red Clash
Red Hawk / Stagger I
Red Wyvern
Regulus
Rezon
Ryu Jin
S.A.R - Search and Rescue
S.S. Mission
Sand Scorpion
Saturn
Sengeki Striker
Sen Jin - Guardian Storm
Silver Millenium
Sky Adventure
Sky Alert
Sky Smasher
Sky Soldiers
Space Bomber
Spectrum 2000
Star Fighter (1990/Suna/Korea, not the Western home computer game)
Storm Blade
Strikers 1999 (aka Strikers 1945 III)
Super Dimension Fortress Macross (unrelated to similarly-named console games)
Super Dimension Fortress Macross II
Super-X
Tatakae! (Fight on!) Big Fighter
Tenkomori Shooting (aka Variety Game: Tenkomori)
Thunder Cross II
Thunder Dragon
Thunder Dragon 2
Time Pilot '84
Tobe! Polystars
Trigon/Lightning Fighters ***
Turbo Force
Turtle Ship
Twin Action
Twin Eagle II - the Rescue Mission
U.N. Defense Force Earth Joker
U.S. Navy (Carrier Airwing)
UFO Robo Dangar
Ultra X Weapon
Valtric
Varia Metal
Vasara
Vasara 2
Vastar
Vimana
Viper Phase 1*****
War of AeroWhizz (aka Twin Falcons)
와이번윙즈 (Wivern Wings) / Space Opera: Wyvern Wings
Wonder Planet
Wyvern F0
Yōjūden aka Youjyuden
Zero Gunner
Zing Zing Zip
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Only ported to home 1980s home computers (no console ports):
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Blasteroids
Dragon Breed
Juno First
Xtom 3D (Korean Windows port. And it's really 2.5D, like Raystorm)
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Notes
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* early 2000's mobile phone ports only
** not to be confused with the casual RPG
*** there are two differences between Lightning Fighters and Trigon (ref: http://www.hardcoregaming101.net/konami ... oters4.htm )
***** Viper Phase 1 New Version is not a US exclusive. The US releases of both are different from the Japan releases, current known difference is looping. Other releases might be different too. The Raiden Fighters games also have similar differences, and it is known that the Asian releases are based on but slightly different from the US releases.
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Controversies:
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The games below may or may not be exclusives, you decide

- Darius: see http://www.hardcoregaming101.net/darius/darius.htm for differences between the arcade Darius and the various ports.
- Gstream 2020: the original is unported, but there is a 360 port in the form of the 'improved' DeltaZeal (in Shooting Love 10th Anniversary)
- Some Visco games have apparently received PC ports in Korea.
- Battle Bakraid unlimited version is a bug-fix/unlock version
- Ibara Kuro is a remake of the PS2 arrange version
- The USA twin arcade version of Fire Shark, which has no checkpoints in 1P, is exclusive. Mega Drive and even Genesis versions are both based on Same!Same!Same! (JP version).