Grandfather Cherry Blossom "Jealousy against the Bright Good Man": The rows of flowers are aimed, so you can misdirect them to give yourself more room. In particular, start the card left of Parsee and then dash back to the right.
Oni Sign "Mysterious Powers and Disrupting Spirits": It helps to know that this card is static, so you can find a spot you're comfortable dodging in and use it every time without fail. Future waves can change based on where Yuugi moves to, but since you're using ReimuA you can knock her out before then.
Feat of Strength "Storm on Mt. Ooe": This one is just random dodging, so it's something that you'll only get better at with time. Try to keep an eye out for where the biggest spots are.
Recollection "Double Black Death Butterfly": This one is also random dodging, and a particularly nasty one within any given difficulty level. However, there is a way to plow through it in a 1cc attempt. Bomb anytime between the 3rd and 4th waves of the cards, and you'll only be forced to do minimal dodging.
Recollection "Flying Insect's Nest": This one is essentially streaming, though you must account for the lasers too. Fortunately there's a noticeable period between waves of butterflies, so once you hear them bounce off the walls, steadily move in one direction out of their way. You can simply move from spot to spot between lasers as your form of streaming.
Recollection "Border of Wave and Particle": This is another static card, so if you have trouble dodging it "on the fly", learn a safe path through and stick with it.
Cat Sign "Cat's Walk": Another random dodging card, and like DBDB it can be avoided with a bomb. Use it anytime after Orin spawns the last ring. For a capture, the best advice I could give is to "look ahead" - try to read the rings sometime before they get close to you, that way you can properly move to a safe position.
Cursed Sprite "Zombie Fairy": Generally speaking, the trick to this card is to herd the zombie fairies. There are two ways to do this, but what I think is the easier way is to start at the top of the screen (and maybe a bit left of Orin), then dash around to the right and back under Orin once she starts firing her blue bullets. The rest is just dodging as you pick off the fairies, though it doesn't get particularly dense.
Atonement "Needle Mountain of a Former Hell": Keep in mind that each wave of "Ghost Wheels" is aimed at you the moment it spawns, and the spacing of the wheels within each formation remains the same. What you need to do is to keep track of how often the wheels fire (it's a regular rate) and where you are when they fire, so you can move the required distance over to either side. You have the smaller bullets to worry about too, so the card becomes a mix of macro- and micro-dodging.
"Rekindling of Dead Ashes": Another zombie fairy card, and one that requires a rather specific set of movements. Start the card under Orin, and stream the fairies directly up as they come at you. When you reach Orin, or when her blue bullets rotate to about your position (whichever comes first), go up to the top-left corner of the screen (the rough area, not the exact corner) and stay there for a few moments. Once the zombie fairies get closer, they'll start firing bubble bullets - when this happens, move to the right and circle back around Orin (don't go too fast, but you still want the fairies to stay near the corner). Go back under Orin and shoot her down, hopefully before the fairies wall her off. Note: if the fairies start getting too close to you before Orin dies, repeat the motions around the screen to herd them away.
Atomic Fire "Nuclear Fusion": This one can be tough because of how dense the blue bullets are. The suns are all aimed at you, and like Orin's Ghost Wheels the spacing doesn't. Have Utsuho fire her suns at specific points, and once they fire move to the side and stay there. Reading ahead helps here too, so find what looks like the safest path through the blue bullets as you move to the side. Also, if you want to kill the card faster, have Utsuho fire the first wave so that she leaves an open space below her - put Reimu above the mulitplier number in the Communication Gauge at the start, then go back under Utsuho.
Explosion Sign "Mega Flare": Another random dodging card, but this time bombs aren't as useful - the suns continuously explode, so even after the bomb clears the screen, Utsuho's bullets quickly fill it back up. The only advice here is to read how the suns shrink, and then find the open spaces that they leave.
Blazing Star "Fixed Star": This card has a safespot, or rather a "safebox". Fit yourself directly between the two orbits (don't worry, it's perfectly safe) and dodge the rest with left-right motions. There's no need to play this card the way it looks like it was intended to be - unless you want to challenge yourself.
"Hell and Heaven Meltdown": I recommend staying toward either side where there's more room. The rest is more random dodging, so try to get a fix on the bullets before they get too close to you.
"Hell's Artificial Sun": Keeping moving down steadily, and when you want to move to the side, always make it a diagonal motion. The fallout from the sun is random, so read those as needed and let yourself "coast" through the gaps. Based on your Spellcard history, you haven't faced this card many times, so just keep at it and see what works for you.