Authentication and blacklisting mechanisms have a key role for service providers to deliver the service to correct users through digital channels. Nevertheless, there always have been concerns about privacy of the users against such mechanisms. The conditional anonymity concept is proposed as a remedy to these concerns. A recent approach in the literature for conditional anonymity is blacklistable anonymous credentials, which allows service providers to blacklist users for an authentication session without identifying the user. In this paper, we improve user anonymity in conditionally anonymous schemes using two complementary mechanisms. First, we define whitelisting property for blacklistable anonymous credentials and give a construction of this scheme. The whitelisting property can be used to unlink an honestly behaved authentication session from the user. Second, we propose an extension of this scheme for a particular use case, sharing economy services. This scheme allows a service provider to blacklist a user only if the user have not returned the shared asset in due time. We benchmark the performance of our schemes by comparing them with the rival schemes. Our experiments show that both of our scheme have comparable performance to previous works.