Here are a gigantic list of all the codes, sorted alphabetically, that were included in the error correction zoo.
  1. 3D surface code
  2. Abelian topological code
  3. Additive \(q\)-ary code
  4. Alamouti code
  5. Algebraic-geometry (AG) code
  6. Alternant code
  7. Approximate quantum error-correcting code (AQECC)
  8. Approximate secret-sharing code
  9. Availability code
  10. Bacon-Shor code
  11. Balanced product code
  12. Binary Golay code
  13. Binary code
  14. Binary permutation-based code
  15. Binary quantum Goppa code
  16. Binary repetition code
  17. Binomial code
  18. Bose–Chaudhuri–Hocquenghem (BCH) code
  19. Bosonic code
  20. Bosonic rotation code
  21. Bosonic stabilizer code
  22. Bravyi-Bacon-Shor (BBS) code
  23. Calderbank-Shor-Steane (CSS) stabilizer code
  24. Cat code
  25. Category-based quantum code
  26. Chuang-Leung-Yamamoto code
  27. Clifford-deformed surface code (CDSC)
  28. Codeword stabilized (CWS) code
  29. Color code
  30. Concatenated code
  31. Concatenated quantum code
  32. Constant-excitation (CE) code
  33. Constant-excitation permutation-invariant code
  34. Convolutional code
  35. Covering code
  36. Cyclic code
  37. Distance-balanced code
  38. Distributed-storage code
  39. Divisible code
  40. Double-semion code
  41. Dual linear code
  42. Dual-rail code
  43. Dynamically-generated quantum error-correcting code
  44. Eigenstate thermalization hypothesis (ETH) code
  45. Entanglement-assisted (EA) QECC
  46. Entanglement-assisted (EA) operator QECC
  47. Entanglement-assisted (EA) stabilizer code
  48. Entanglement-assisted hybrid classical-quantum (EACQ) code
  49. Error-correcting code (ECC)
  50. Evaluation AG code
  51. Expander code
  52. Expander lifted-product code
  53. Extended RS code
  54. Fermionic code
  55. Fiber-bundle code
  56. Fibonacci string-net code
  57. Finite-dimensional quantum error-correcting code
  58. Floquet code
  59. Fock-state bosonic code
  60. Folded RS code
  61. Fountain code
  62. Fractal surface code
  63. Fracton code
  64. Freedman-Meyer-Luo code
  65. Frobenius code
  66. Fusion-based quantum computing (FBQC) code
  67. GKP-stabilizer code
  68. GNU permutation-invariant code
  69. Gabidulin code
  70. Galois-field \(q\)-ary code
  71. Galois-qudit CSS code
  72. Galois-qudit code
  73. Galois-qudit non-stabilizer code
  74. Galois-qudit polynomial code (QPyC)
  75. Galois-qudit stabilizer code
  76. Generalized Reed-Solomon (GRS) code
  77. Generalized concatenated code
  78. Generalized homological product code
  79. Goppa code
  80. Gottesman-Kitaev-Preskill (GKP) code
  81. Graph homology code
  82. Gross spin code
  83. Group GKP code
  84. Group-based code
  85. Group-based quantum code
  86. Guth-Lubotzky code
  87. H code
  88. Haah cubic code
  89. Haar-random code
  90. Hadamard code
  91. Hamiltonian-based code
  92. Hamming code
  93. Heavy-hexagon code
  94. Higher-dimensional surface code
  95. Holographic code
  96. Homological bosonic code
  97. Homological product code
  98. Honeycomb code
  99. Hybrid qudit-oscillator code
  100. Hyperbolic surface code
  101. Hypergraph product code
  102. Identifiable parent property (IPP) code
  103. Justesen code
  104. Kitaev surface code
  105. Lattice-based code
  106. Levenshtein code
  107. Lifted-product (LP) code
  108. Linear \(q\)-ary code
  109. Linear binary code
  110. Local Haar-random circuit code
  111. Locally recoverable code (LRC)
  112. Low-density parity-check (LDPC) code
  113. Low-depth random Clifford-circuit code
  114. Luby transform (LT) code
  115. Majorana stabilizer code
  116. Matching code
  117. Matrix code
  118. Maximum distance separable (MDS) code
  119. Maximum-rank distance (MRD) code
  120. Minimum-bandwidth regenerating (MBR) code
  121. Minimum-storage regenerating (MSR) code
  122. Modular-qudit CSS code
  123. Modular-qudit code
  124. Modular-qudit stabilizer code
  125. Modular-qudit surface code
  126. Molecular code
  127. Monitored random-circuit code
  128. Movassagh-Ouyang Hamiltonian code
  129. Multi-mode GKP code
  130. Niset-Andersen-Cerf code
  131. Number-phase code
  132. Operator-algebra error-correcting code
  133. Orthogonal Spacetime Block Code (OSTBC)
  134. Oscillator-into-oscillator code
  135. Parallel concatenated code
  136. Parallel-recovery code
  137. Parity-check code
  138. Pastawski-Yoshida-Harlow-Preskill (HaPPY) code
  139. Perfect code
  140. Perfect quantum code
  141. Permutation-invariant code
  142. Polar code
  143. Prime-qudit polynomial code (QPyC)
  144. Projective-plane surface code
  145. Quadratic-residue code
  146. Quantum Lego code
  147. Quantum Reed-Muller code
  148. Quantum Tanner code
  149. Quantum convolutional code
  150. Quantum cyclic code
  151. Quantum divisible code
  152. Quantum error-correcting code (QECC)
  153. Quantum expander code
  154. Quantum low-density parity-check (QLDPC) code
  155. Quantum maximum-distance-separable (MDS) code
  156. Quantum parity code (QPC)
  157. Quantum polar code
  158. Quantum repetition code
  159. Quantum-double code
  160. Quasi-cyclic code
  161. Quaternary code over \(\mathbb{Z}_4\)
  162. Qubit code
  163. Qubit stabilizer code
  164. Qudit-into-oscillator code
  165. Ramanujan-complex product code
  166. Random code
  167. Random quantum code
  168. Random-circuit code
  169. Rank-metric code
  170. Rank-modulation code
  171. Raptor (RAPid TORnado) code
  172. Raussendorf-Bravyi-Harrington (RBH) code
  173. Reed-Muller (RM) code
  174. Reed-Solomon (RS) code
  175. Regenerating code (RGC)
  176. Residue AG code
  177. Ring code
  178. Rotor GKP code
  179. Self-correcting quantum code
  180. Sequential-recovery code
  181. Shor \([[9,1,3]]\) code
  182. Single parity-check code
  183. Skew-cyclic CSS code
  184. Skew-cyclic code
  185. Spacetime block code (STBC)
  186. Spacetime code (STC)
  187. Spherical code
  188. Spin code
  189. Stabilizer code
  190. Stabilizer code over \(GF(4)\)
  191. Stabilizer code over \(GF(q^2)\)
  192. Steane \([[7,1,3]]\) code
  193. String-net code
  194. Subsystem color code
  195. Subsystem quantum error-correcting code
  196. Subsystem qubit stabilizer code
  197. Symmetry-protected self-correcting quantum code
  198. Tanner code
  199. Three qutrit code
  200. Topological code
  201. Tornado code
  202. Translationally-invariant stabilizer code
  203. Transverse-field Ising model (TFIM) code
  204. Triorthogonal code
  205. True Galois-qudit stabilizer code
  206. Two-dimensional hyperbolic surface code
  207. Two-weight code
  208. Very small logical qubit (VSLQ) code
  209. Wasilewski-Banaszek code
  210. Wozencraft ensemble code
  211. XP stabilizer code
  212. XS stabilizer code
  213. XY surface code
  214. XYZ product code
  215. XYZ\(^2\) hexagonal stabilizer code
  216. XZZX surface code
  217. Zetterberg code
  218. \(R\)-linear code
  219. \([[15,1,3]]\) Reed-Muller code
  220. \([[2^r, 2^r-r-2, 3]]\) quantum Hamming code
  221. \([[2^r-1, 2^r-2r-1, 3]]\) Hamming-based CSS code
  222. \([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code
  223. \([[4,2,2]]\) CSS code
  224. \([[5,1,3]]\) perfect code
  225. \(q\)-ary group code