There a many ways to browse anonymously. Each option has his own advantages and disadvantages.
Networks:
https://www.torproject.org/
From the official website:
Tor is free software and an open network that helps you defend against traffic analysis, a form of network surveillance that threatens personal freedom and privacy, confidential business activities and relationships, and state security.
It has his own network and browser based on Firefox. It uses different end nodes during you browsing. The drawback is that some website block known end nodes or you loose functionality.
https://geti2p.net/nl/
From the offcial website:
I2P is an anonymous overlay network - a network within a network. It is intended to protect communication from dragnet surveillance and monitoring by third parties such as ISPs.Like TOR it has his own network and applications.
Browser:
A chrome based browser with builtin protection against many tracking options:
https://www.epicbrowser.com/
Linux distribution:
This is a Linux distribution. You can boot it from USB or DVD. It uses TOR, but has some more features to protect you against tracking. It does not save any data on the hard-disk and if you shutdown the Linux OS normally, it will clear the memory.
https://tails.boum.org/
Other Solutions:
You can check the websites below for more anonymously browsing options:
https://anonymous-proxy-servers.net/
https://www.anonymizer.com/
