Start the stage a ways up the screen. When the fairies come, drop down and graze bullets to the left until they're dead. Collect items. Go to the right side, repeat x3. Kill all the next fairies as they come down, collecting items and such. Stay above 119 power, but not max. When the middle fairy comes down, kill it, then move up and collect the items so that you'll suck up all the oncoming bullets. Next, a fairy spawns in the middle, then left, then right, then middle again. Kill them soon so you don't have to deal with too many bullets.
Everyone hates the Death Fairy, just bomb if needed lol.
There's no real strategy for Silent Selene, just make sure to stay under Patchy as long as you can. Watch a replay for Royal Flare; it's static, so you just do the same thing every time. For Philosopher's Stone, Stay higher up at the beginning and work your way down as needed. One bomb should be enough to kill it anyways, so if you're stuck, just bomb.
Collect the items, and move to the left. The fairies shoot, you move to the right. Fairies on the right appear and shoot, you move to the left. Repeat until the last wave, which requires you to not move immediately or you'll get walled. Stream the bullets up next, and collect the items at the end. The books always have a few that shoot aimed shots, so slowly move to the left and right sides as needed. You can kill the books to lessen the load, but the rest is dodging. After the last wave, move to the left and stream once again.