Sonic Wings Special is not a compilation of 1-3. It's a proper title which combines ships and stages from the three games in a single package with branching paths and randomly selected stages past the first 3 (? Iirc).
I consider it much better than crappy Sonic Wings 3 (also I think the default "arcade" difficulty is mental when compared to SW1 and especially SW2).
Shienryu is a "classical" vertical scrolling shmup.
I think it's great and Hamster's port for PS1 (at least the JPN version, dunno if there are others) is pretty decent, it has many (mostly goofy) extras but misses a few gfx effects and has a worse audio than the arcade original, I've never tried the Saturn port so I dunno how it compares. Also there's no TATE mode available afaik.
You can grab the game off JPN PSN, should be ¥600 or maybe close to that.