I will still prefer Bitcoin, many people do not even care about privacy, all they want is to make use of cryptocurrencies, be that as it may be, privacy is very important and necessary. Truly, there are privacy coins, monero, dash and zcash that have anonymous ledger, but I will still prefer Bitcoin with transparent ledger.

Bitcoin ledger is transparent to the public, but not connected to individuals, that is why people says Bitcoin is psuedonymous, except in some cases of mistake like the ledger data leak which was the mistake of ledger company, not how bitcoin was was designed.
You can still increase your privacy while using bitcoin, use of CoinJoin, mixers and coin control in few cases and many other ways we can possibly think of to maximize our privacy. You can even send bitcoin to anonymous coin like bitcoin and send it back to Bitcoin, this will not be always but at times for maintaining privacy.
Monero and others like it can bring about anonymity but Bitcoin makes it better as it is flexible enough to maintain privacy in an advance way. What is mostly needed is not anonymity as it can bring about money laundering and terrorsm financing, which can be reduced while dealing with bitcoin, we have seen many cases of such when illicit Bitcoin is hijacked by the government, but yet, Bitcoin brings about privacy.