I'm using Google Chrome on my home Windows 8 desktop PC, on my Windows 8 tablet, on my work XP ****ty computer. So I want to use it on my Windows Phone 8 as well. All my passwords, bookmarks are in sync. IE performs well on Windows Phone 8. But IE overall has tons of features missing. Microsoft has to improve IE to make me or other users switch, or let/ask Google to make Chrome available on WP8. Or make a Chrome browser just like they made a half-official (made by Microsoft, approved by Google) YouTube app.
It could be a win-win situation for both companies. Microsoft could gain users from iOS and Android to their phone platform, Google could get new users to switch on their desktop computers to Chrome, because of its nice features.
I'm also missing an official Gmail app, but that's another topic...
Another great example how users will suck, because of two giant companies' war...
By the way Chrome based on the open source Chromium project, so some devs should start developing a Chrome clone, which works with our Google account. I even pay for an app like this...