Blind signatures are well-studied building blocks of cryptography, originally designed to enable anonymity in electronic voting and digital banking. Identity-based signature were introduced by Shamir in 1984 and gave an alternative to prominent Public Key Infrastructure. An identity-based blind signature (IDBS) allows any user to interact directly with the signer without any prior interaction with a trusted authority. The first IDBS has been proposed in 2002 and several schemes were proposed since then. Seeking for a full comparison of these primitives, we propose a survey on IDBS and list all such primitives that seems to maintain some security. We also classify their security assumptions based on the existing security expectation that have not been formalized yet in the literature. Moreover, we empirically evaluate the complexity of all the operations used in those schemes with modern cryptographic libraries. This allows us to perform a realistic evaluation of their practical complexities. Hence, we can compare all schemes in terms of complexity and signature size.