I'm increasingly replacing Safari with Chrome (free, App Store) on my iPhone and iPad. Chrome has a modern UI with a unified search/URL field, unlimited tabs that you can flip through like a deck of cards and synchronization of tabs, bookmarks, passwords and omnibox data across devices that actually works. Mobile Safari on the other hand, feels like a relic of days gone by. It requires an extra touch to search, limits you to eight "pages" (no tabs), and iCloud bookmark syncing that is so broken that I leave it turned off.
Chrome lacks the Nitro JavaScript engine -- which Apple restricts to Mobile Safari for "security reasons." And since there's no "default app" setting in iOS 6, touching links in Apple apps (like Mail, Messages, etc.) will open them in Safari. The alternative of course, it to switch to apps like Sparrow, Google Maps and Google+ which allow you to open links in Chrome.
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