Here is a list of good QLDPC codes.
Code Description
Dinur-Hsieh-Lin-Vidick (DHLV) code Stub.
Expander lifted-product code Family of \(G\)-lifted product codes constructed using two random classical Tanner codes defined on expander graphs. For certain parameters, this construction yields the first asymptotically good QLDPC codes [1].
Quantum Tanner code Stub.

References

[1]
Pavel Panteleev and Gleb Kalachev, “Asymptotically Good Quantum and Locally Testable Classical LDPC Codes”. 2111.03654