EoSD:
Colorful Sign "Colorful Light Chaotic Dance" - This one is actually really simple. Just dodge the main chunk of diagonal bullets, and go as far to the side as you need to. Then just get back under her. When she shoots the second wave of diagonal bullets, repeat.
Stage 4 midboss - You actually don't have to move too much to the side. Other than that, there's really no trick. Before the bullets reach you, quickly judge to see where the best place to dodge is, avoiding walls of bullets.
Stage 5 nonspells - This is all a matter of reading the bullets WAY before they reach you. Look at their general direction and move out of the way before they can get near you. That way you won't get trapped as often. Be careful not to clipdeath and you probably won't need a lot of focused movement for some of these.
Not gonna comment on Scarlet Meister and Scarlet Gensokyo because I'm not that great with them.
As for Lavaietehinewr (goddamn I can never spell this) in Extra, I sorta agree with Time Traveler. But, I do understand that some people just want to get through the stage. However, if you are comfortable with Extra you really should dodge it the right way.
MoF:
Spring Sign "Jade of the Horrid River" - I hate this card.
Native God "The Red Frog in the Fourth Year of the Houei Era" - Some people plan it out, but here's how I do it. Obviously, I do the zig-zag thing to minimize her movement, and when the next Suwakos appear, I try to place myself in line with them, so the zig-zag can continue. However, one of the most important things to remember is not to freak. If you flail around, the Suwakos will fly everywhere and you might have to bomb more than once.
"Suwa War - Native Myth vs Central Myth" - Yeeeeaah, this card is a bit annoying. It'd be a lot more fun if it was more dodging than planning. On the second to last wave, as you're sweeping across the field sideways to avoid the homing suns, get to the top center of the screen as fast as possible. Stay up there as long as you can, and keep moving downward as slowly as possible, dodging any debris in your way. This way, you can minimize the amount of bullets you dodge, and since you're moving downward, the homing suns won't even pose a threat. Just cross your fingers and hope you hang on in the last seconds.
Native God "Froggy Braves the Elements" - Pure dodging, no other way to do it. Stay about a little under the center or a third up, and dodge the rain. Whenever you see an opening, get through the lines of bubbles, and continue dodging the rain until you find another opening. If you do that you'll probably very rarely get trapped between the rain and bubbles.
PCB:
Oni Sign "Blue Oni Red Oni" - I suppose if you have enough power you can start at the top and stream downward, but I don't know how well that works. Otherwise, you really have no choice but to stream sideways. Be a little more conservative in your movement, and minimize vertical movements, as they might cause the homing bullets to accidentally cross your path.
Oni God "Soaring Guardian God" - Oh god do not stay in a corner. It's extremely difficult to dodge the bullets in the corner because not only are the gaps really small, Chen might layer more bullets on top of you when you least expect it, probably walling you off. And if that isn't bad enough, you need to have a quick reaction time. Your best bet is probably to try and get to an open spot as soon as possible, and just completely get out of the way of all the bullets, only dodging through the streams again when Chen changes direction and you have no choice.
Shikigami "Banquet of 12 General Gods" - Bottom right, not really any other way to do it unless you're godly at dodging. Watch out for the homing bullets.