Kidou Already Discovered

(Only vizards and shinigamis can use these)

Bakudo
1. Restrain : Sai - Locks a target's arms in place behind their back. Incantation: unknown/none.
4. Crawling Rope : hainawa - An energy rope entangles a target's arms. Incantation: unknown/none.
9. Strike : geki - Engulfs a target in red light, completely paralyzing them. Incantation: "Disintegrate, you black dog of Rondanini! Look upon yourself with horror and then claw out your own throat!"
39. Arc Shield : enkosen - Summons a shield of condensed reiatsu to block opponents' attacks. Incantation: unknown/none.
58. Summoning of the Tracking Sparrows : kakushitsuijaku - Tracks and locates any spiritual force the user focuses on. To activate it, the user must draw a circle on the ground, cut into four parts with a specific character in each. The incantation animates the circle, causing various numbers to appear within until the specific set is found. The number set seems to be a variation on longitude and latitude. Incantation: "Heart of the south, eye of the north, finger of the west, foot of the east, arrive with the wind and depart with the rain."
61. Six Rods Prison of Light : rikujōkōrō - Summons six thin, but wide, beams of light that slam into a target's midsection, holding them in place. Incantation: "Carriage of Thunder. Bridge of a spinning wheel. With light, divide this into six!"
62. Hundred Steps Fence : hyapporankan - A rod formed of energy is thrown towards the target before it disintegrates into numerous short rods which are used to pin the target to the surroundings and render them immobile. Incantation: unknown/none.
63. Locking Bondage Stripes : sajo sabaku - Binds the arms of a target. According to Hachigen Ushōda, physical strength alone should not be enough to brake level 60 Bakudō, however Kensei Muguruma was able to free himself from this kidō while in his hollow form. Incantation: unknown/none.
75. Quintet of 1 kan Iron Pillars : gochūtekkan - Summons five incredibly tall and thick pillars to pin a target to the ground. Incantation: "Walls of ironsand, a priestly pagoda, glowing ironclad fireflies. Standing upright, silent to the end."
77. Heavenly Rickshaws in Silken Air : tenteikūra - Transmits messages to anyone within Soul Society. In addition to reciting the spell, the user must draw specific markings on their arms, which are animated by the spell to convey the messages. Incantation: "Black and white net. Twenty-two bridges, sixty-six crowns and belts. Footprints, distant thunder, sharp peak, engulfing land, hidden in the night, sea of clouds, blue line. Form a circle and fly though the heavens."
99, Part 1. Seal : kin - Binds the arms of a target with spiritual fabric and iron shafts. Incantation: unknown/none.
99, Part 2. Great seal : bankin- This spell covers a target from head to toe with spiritual fabric (first song), stabs them with numerous metal blades (second song), and then smashes them with an immense metal cube (final song). Incantation: First song: Halting Fabric Second song: hundred linked bolts

Hadou
1. Thrust : shō - Pushes the target away from the caster. Incantation: unknown/none.
4. White Lightning : byakurai - Fires a concentrated bolt of lightning from the caster's forefinger. Incantation: unknown/none.
31. Shot of Red Fire : shakkahō - Fires a ball of red energy at a target. Incantation: "Ye lord! Mask of blood and flesh, all creation, flutter of wings, ye who bares the name of Man! Inferno and pandemonium, the sea barrier surges, march on to the south!"
33. Blue Fire, Crash Down : sōkatsui - Fires a burst of blue spiritual energy at a target in a similar manner to 31, but over a wider area and with more power. Incantation: "Ye lord! Mask of flesh and bone, flutter of wings, ye who bares the name of Man! Truth and temperance, upon this sinless wall of dreams unleash but slightly the wrath of your claws."
54. Abolishing Flames : haien - Fires a blast of purple spiritual energy that will incinerate a target completely when it makes contact. Incantation: unknown/none.
58. Orchid Sky : tenran - A widening tornado-like blast is fired towards the target. ncantation: unknown/none
63. Thunder Roar Cannon : raikōhō - Fires a massive wave of yellow energy at a target. Incantation: "Sprinkled on the bones of the beast! Sharp tower, red crystal, steel ring. Move and become the wind, stop and become the calm. The sound of warring spears fills the empty castle!"
73. Twin Lotus Blue Fire, Crash Down : sōren sōkatsui - Essentially a doubled version of #33, this spell fires two shots of blue fire with greater potency than the single-shot variety. Incantation: "Ye lord! Mask of blood and flesh, all creation, flutter of wings, ye who bares the name of Man! On the wall of blue flame, inscribe a twin lotus. In the abyss of conflagration, wait at the far heavens."
88. Flying Dragon-Striking Heaven-Shaking Thunder Cannon : hiryugekizokushintenraiho - Fires a gigantic blast of spiritual energy resulting in a truly enormous explosion. Incantation: unknown/none.
90. Black Coffin : kurohitsugi - Forms a box of black energy around a target, which is then pierced by dozens of energy "spears", lacerating the one inside from head to toe. Its appearance and function is reminiscent of a common magician's trick, as well as certain torture devices used during the Spanish Inquisition. Incantation: unknown/none.

Forbidden Kido(only captains and elite vaizards can use these)
* Temporal Stasis : jikanteishi - A forbidden spell used by Tessai along with kūkanten'i. It is a spell that halts time in a specific area.
* Spatial Displacement : kūkanten'i - A forbidden spell used by Tessai with jikanteishi to teleport a specified portion of space from one point to another, transporting even other active kidō spells.
81. Splitting Void : danku - Creates an energy barrier in the form of a rectangular wall. According to Byakuya, it is capable of stopping destructive spells up to #89. This is seen also when Aizen uses it to block Tessai's hado #88. The spell itself was said to be forbidden by Tessai. Incantation: unknown/none.
Other
These spells are not explicitly stated to be in one category or the other.
* White Crawl : hakufuku - Momo Hinamori uses this spell while imprisoned to knock out a guard and destroy everything within a certain radius of herself. The anime suggests that it is a binding spell, but doesn't number it.
* Mirror Door : kyōmon - Tōshirō Hitsugaya used this to seal Momo Hinamori's hospital room. It creates a glass-like barrier which is difficult to break from the outside, but quite simple to break from the inside.
* Reverse Demon : hanki - This technique nullifies an opponent's kidō by hitting them with a perfectly opposite surge of energy. Yoruichi uses this against Soifon's shunkō