Marionette - Marionette is a lame card because Sakuya prevents you from staying underneath her and the card has a surprising amount of HP. Your best bet is probably to stay under Sakuya until the time stop, and then run. Return under her after the next time stop. Repeat until you have to bomb.
ZA WARUDO - The knives change their angles randomly. However, you can get them to be placed in a cluster close to Sakuya if you yourself are close to her at the time stop. Don't run into the cheesy flame bullets though.
Curse of Vlad Tepes - While you could try to guesstimate when the knives stop curving, you would probably be better off just getting well out of their way

The blood bullets move together-ish, though, so you have to watch both knives and bullets at the same time.
Scarlet Shoot is a constant series of shots that are individually aimed at you. Dodge far out after the first two, then return under Remilia for the third one (the wall). Repeat-ish until the card is timed out or you capture the spell. Yes, this card is much easier than Scarlet Meister.
Red Magic - I wouldn't try very hard to stay under Remilia; while damaging the boss does tend to help in most situations survival is more important. Outside that, I would keep as far away from the purple bullets as you can get - not easy - without running into the blood bullets - also not easy. Once again, keep your eye on two patterns at once. The bouncing purple bullets make this attack about on par with Scarlet Gensokyo -Hard- according to some.
Sylphae Horn/High Level - Stay under Patchouli. Keep the Z button pressed. Dodge until you have to bomb.