Higher Self, Bulk Brane, ALL OF HER CYCLE BULLET NONSPELLS, Akashic Record, Gathering Void, and Future..
Higher Self can be tricky the first time you encounter it, but essentially you have to think of it as a really low FPS spell. The bullets are all expanding at a slow rate, but you only see every few frames of the movement, so plan ahead for where each bullet is going to be in a transition or two. I usually find that starting on the lower right side while the left side "blooms" is a good way to begin and then quickly find a way into the now-open left side once the expanding rings give you enough space. Finally, quickly get in position to deal with the expanding ring of red bubbles and place yourself in the white area around the edge of the bullets so that when they reappear they will be right behind you and you'll be safely in the other half of the white area.
Bulk Brain is the most attractive spell I've seen in ages and one of my favorites. Start at the bottom of the bubble and wait for the "ball" to expand until it's about to reach you. While it's expanding, start searching out where the two axis points are and make sure that one isn't heading your way. Then slip into the rotating ball around the thinnest part of the hemisphere and stay about 2/3rds of the way down the ball as it spins. Keep a keen eye on the two axes as you dodge the bullets of the sphere's wall and adjust yourself accordingly so that you don't get walled by the axis.
Akashic Record Player... yeah, I've got nothing for that. It's just reading and I usually end up bombing (or multi-bombing) it myself. However, it is the penultimate spell for gaining lives on Otohime 'safely,' so feel free to graze as much as you can once you get confident with it.
Gathering Void is pretty easy to fail. Obviously, stay wherever the mist isn't until it covers the entire screen. Even at 1 second left, you should have a very limited amount of transparency along the corners, so you should be able to spot oncoming bullets a split second before they arrive, but good luck! It's like Nue on crack.
The Future card is all about predictive reading. The lines of red bullets will always sway toward the direction that Otohime is moving toward. If she's on the right and moving leftbound, they will also be going to the diagonal lower left. When she's at a standstill, they will move just slightly left and then head down almost at a perfect vertical line. If you feel yourself getting cornered, you can try dashing between two lines of red as long as there aren't amulets in the way on either side. I don't recommend grazing the red lines because I've found it's easy to misjudge how much they will sway.
