When comparing Polarity Browser vs Basilisk, the Slant community recommends Basilisk for most people. In the question“What are the best desktop web browsers?” Basilisk is ranked 23rd while Polarity Browser is ranked 40th. The most important reason people chose Basilisk is:
So the source code can be verified.
Specs
Ranked in these QuestionsQuestion Ranking
Pros

Pro Fast and lightweight
According to their own tests Polarity takes up more than 10x less memory than IE, FF or Chrome.
Pro Multi-session browsing with Parallel Sessions
Parallel Sessions allows users to browse the web with different profiles with separate cache, cookies, and history. This enables users to login to multiple accounts to different websites like Facebook.
Pro Built-in privacy features
Polarity browser comes with ad block and Do Not Track built in.

Pro Customizable UI
It allows you to customize many things from window color, tab color and text color to window transparency and border size. You can set Background image or use Shuffle from Bing. You can also save the theme, import and export it.
Pro Custom Developer tools
Polarity comes with the standard Inspector for Blink based browsers along with its custom client that works with both Trident and Blink.

Pro Great HTML5 support
Polarity scores 512/555 on the HTML5 test. It is just a couple of points shy of Google Chrome.
Pro Open Source
So the source code can be verified.
Cons

Con Few annoyances left unchecked
The browser has a couple of bugs such as where extensions are not actually ran after installation despite a notification stating that they are.

Con Windows and Android only
No Linux, OSX or iOS version available.
Con Unstable and frequent crashes
Though the browser is really lightweight and lightning fast, it crashes many times and is clearly unstable.
Con Uninstallation problems
Polarity browser can only be uninstalled with a built-in deinstallation tool. This is very impractical.
Con Security risk
Con Limited WebRTC support
Con Licensed under MPL
which one of the more restrictive open source licenses.
Con Uses Goanna
A Gecko fork that is developed by mostly one developer.
Con Only available for Intel based cpu architectures
it is only available for ix86 and amd64.
Con Limited Widevine support
