I've found there's a whole lot of browsers for phones and tablets nowadays, and I've tried about 5 of them and while I did find all of them to be very useful and well made, I'm still not able to just use only one because none of them have all the features completely. For example, one I used has a great way to organized saved photos and you can even secure them via lock and password, and shortcuts are included and customizable, but it doesn't support video pop-up like another browser I use does, and I'm hoping there is one suggestion that encompasses all these features. I'm even willing to pay for it if there really is such an app that is this complete. Alternatively, please also just discuss here which browsers you use on your devices and if you are satisfied with them, and if you have any improvements or extra features you'd like to see in them for future updates.
I can recommend the google chrome app for you. It's so good, the interface on it is perfect for navigating, it's been designed perfectly. It's also free which is pretty important and the handiest feature is that you can sign into your google account in it, and share bookmarks, recent and open tabs with your desktop version of chrome.
I really enjoy the Dolphin Browser for android. It's free and really customizable. It also has a really active developer who includes most of the features you suggest. He's also really fast in answering questions so that's a big plus for me too. The browser itself has a pretty clean looking interface and is in my experience tied with Firefox in terms of speed, so there's not much to improve about it anymore but if you got something just send it to the developer and he will have a look at it.
I use both Chrome and FireFox. They're fast and they limit data consumption compared to other browsers. Opera does an even better job at that, though. My phone's regular browser is decent, but I prefer my downloaded browsers more often than not.
In my opinion one of the best is Boat Browser: Log In This browser with easy configuration can be useful when you need to access websites like dailymotion where the use of flash or HTML5 player is device-dependent. You can easily emulate an iPad from boat browser. Choose "Ipad" as user agent and disable Flash. You can emulate part of the Apple experience from your Android, as well as Desktop. Very good browser!
I'm using an iPhone so for the most part, i use it's default browser which is Safari. However i recently installed Opera mini, which is actually a pretty decent browser. It does load some websites really fast and the browser itself is lightweight. The downside of Opera Mini is, sometimes it doesn't display the pages properly, like the website contents are all over the place and it's really frustrating. So basically, i use Safari most of the time but if i want to do some light, easy browsing, i go for Opera Mini.
I like google chrome on my Nook. I feel like google chrome is the fastest browser on pc and on mobile.
I've tried using Apple phones and Android phones before but what suits me the best is Windows phones. I love windows phones especially Windows 8.
I have been using safari for quite some time, and then I gave a try the Google chrome in my iPad. Since then, it's the one that I have been using. It's really great, it's sleek and very simple to use unlike other browsers that still have those unnecessary displays, that you won't need all the time. And when you need them, you could just intentionally go looking for them that they don't really need to be there apparently. I guess I share the same sentiment with the majority.
I have been using the default browser for my phone which is the Google chrome. I think it is an excellent browser and can be navigated easily. I am yet to try other browser and compare it to the chrome. I am so addicted to chrome that I do not think I will get used to any other browser.
The default browser for my phones should be sufficient. For BlackBerry, I just directly type in the web address and the browser would take me there. I don't even know what the default browser for BlackBerry is. For tablets, I also just use the default. My iPhone is also at a default. It's already sufficient for the surfing, the browsing and sending emails. Also for messages. I didn't think I needed to change anything unless I really know what I'm doing.
I have tried a couple of browsers before and based on that experience, I can say that Mozilla Firefox is the best that I've had. It doesn't lag that much on my phone, and another feature that I like with this browser is you can save a page as a pdf file. I have never seen any other mobile browser that had this option.