US released shmups:
Raiden III
Castle Shikigami 2
Gradius III and IV
Gradius V
R-Type Final
Mobile Light Force 2 (Shikigami No Shiro)
Capcom Classics Collection 1 - (1942, 1943, 1943 Kai,
Capcom Classics Collection 2
Taito Legends 1
Taito Legends 2
Silpheed: The Lost Planet
JP released shmups (please feel free to add):
ESPGaluda

Dodonpachi Daioujou
Mushihime-sama
Ibara
SEGA AGES vol 3: Fantasy Zone
SEGA 16 Collection: SDI and Quartet
Sol Divide and Dragon Blaze
Simple 2000 Series Vol. 37: The Shooting (Contains Shienryu and Shienryu Explosion)
Cho Aniki: Sei Naru Protein Densetsu
Gigawing Generations
Gunbird I and II
Hudson Selection Vol. 2: Star Soldier
Psyvariar
Psyvariar II
Shikigami No Shiro
Strikers 1945 I&II
XII Stag
Other interesting JP-only games:
SEGA AGES: Monster World Collection

Tales of Rebirth
Tales of Destiny 2
Phantasy Star 1 remix
Phantasy Star 2 remix