Seamonkey is currently carrying the Navigator banner
But it is beginning to lose its dominance
Lots of people love it, but it, too, has vulnerabilities. There are some display issues as well.
Some love it: Serious Potential in Google’s Browser, but others suggest caution: Google's Chrome: 7 Reasons for It and 7 Reasons Against It.
Wikipedia has a listing of different browsers, categorized by their layout engine and compares them by a series of different measures. There are other visualizations as well.
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