Play only in a reputable casino, protect your anonimity
Maintaining anonymity online can protect you from prying eyes that might seek to exploit private information for the purposes of fraud, identity theft or other dark motives. Protecting your information should be the goal of all online operators but of course there are some that are more successful than others. Off the bat, one of the best ways to protect your details from prying eyes is to only deal with reputable casinos (like Slots Million, Leo Vegas or Video Slots) that are licensed in a reputable jurisdiction. Another way is by ensuring your connection is encrypted using SSL technology to avoid the risk of personal details being intercepted. There are also methods of depositing and withdrawing funds that do not require you to disclose account details. For example using payment providers like Sofort or Trustly eliminates the need to provide banking or credit card details to the casino. Likewise, there is also Skrill and Neteller which are part of Paysafe.
Online gambling with Bitcoins
While no method is guaranteed to be completely anonymous, one possible way of maintaining relative anonymity when playing online is using Bitcoins. This is because personal info like wagering, withdrawing or depositing does not require the disclosure of information. There are online casinos that allow players to use Bitcoins but keep in mind many still don't.
Virtual private networks (VPN)
A virtual private network (vpn) is a method of concealing your activities while online. In theory, you are protected from the prying eyes of entities such as governments, hackers as well as service providers when you are playing at your favourite online casino. They can also be used to conceal you location which may be a way of getting around country restrictions.