Earthion, definitely!

If you'd like to get into old-school, side-scrolling shmups, I like Super Hydorah a lot. For vertical, you might try Blue Revolver Reloaded.

For bullet hell I always suggest GunVein or Mushihimesama. Lot's of difficulty settings and training options there.

Most importantly, have fun! Everybody starts off bad, dying a lot, but the more time you put in the better you get. It's all part of the joy of mastering a skill.