>>1129621In order of my preference:
Battle Garegga: A moderately difficult game with some interesting, yet jank mechanics made by RAISING
Armed Police Batrider: Another RAISING game.
Ikaruga: A very mechanically interesting shmup.
Mushihimesama: A good introduction to CAVE shmup games.
(Do)DonPachi ____ : There are like tens of them, you will not lack for variety.
For getting involved with some shmup communities, I recommend
https://shmups.system11.org/They're pretty grognardy and dislike touhou, but within their niche they're really enthusiastic about what they enjoy, which are shmups of course.