Read my Opera vs. Chrome comparison. I'll give more practical examples below.
Speed Dial - I use it for all my bookmarking and "sessions" needs. E.g. I right-click the tab bar and select "Save as Speed Dial folder", then Opera will create a folder with all the open tabs in that window for me. When I need to access the saved pages, I just type any part of the URL or title in the address field, or I can use the search field at the SD's top right and it'll display all the matches in the thumbnails form so I can access/edit/delete them easily, or I can also browse them manually opening the folders and glancing at the thumbnails and managing them quickly by dragging and dropping (I used the original sessions feature in Opera 12 and while it was useful it was bad because of the lack of that ability to manage them easily).
I know that a classic bookmarks manager would be capable of the same things, including more levels of sub-folders, but even with the limitation of 1-level folders in Speed Dial with my organization it already fits my needs very well so I don't need them. Also, while the bookmarks manager lists items in favicon + title text, the Speed Dial displays the thumbnails of the pages so it's a thousand times easier to recognize the saved pages when browsing them. When I need to dump a page to read later I put it in a temporary Speed Dial folder or out of my way in the Stash.
Search with in the context menu - You're reading text a page then comes across a term you'd like to search. In the other most popular browsers they'll always send you to your default search engine, but in Opera you can chose from any of your search engines. That means I can select text, right-click and in search with menu I can search the selected text in Wikipedia, a dictionary website, in online shopping sites, an alternative search engine, movies, etc... It's much more powerful and comfortable than any other browsers and no plug-in is required for this (nor for any other things I'm citing here).
Shortcuts - there are additional shortcuts in Opera like Paste&Go (Ctrl+Shift+V) that'll work at any moment you want to go to URL or search what's in the clipboard. You don't even need to focus the address field (F8) for it to work, as long as the focus isn't in a text field in a page it'll work. In Chrome and Firefox you'd need to install an extension just for that (crazy). There are also the integrated mouse and rocker gestures and advanced keyboard shortcuts. Some can be added/edited, but not via the browser GUI.
TAB cycles only through form elements - Something so small but that makes all the difference... When you press TAB when visiting a page, instead of highlighting all the links in the page like other browsers, Opera will only focus form elements like text fields, buttons and checkboxes. This is very useful when filling forms and also generally when you press TAB 1 or 2 times after first accessing a page it'll put the focus in the search or other important field of that page instantly, you can painlessly start the query you want.
Recently closed pages - All of them are available for you to reopen in the main menu. While Chrome will show only the ~10 most recent, and IE requires that you open a new tab just to access this list. I'd often get frustrated when I tested Chrome and wanted to reopen a tab far than 10 entries in the list and discovering I couldn't. Opera does it much better.
Stash may be more useful for some people than it's for me, I'll explain - Instead of micromanaging, editing entries' titles, remembering them, etc, you just send a page there and Opera will index the page's content text so you can go there and type any part of the text of a page you recall to search for it, with even bigger thumbnails for recognition.
See this post about bookmarks (and Speed Dial and Stash) from Ruarí: http://ruario.ghost.io/2014/03/18/bookmarks/
The more you use it you'll see that the argument it's equal to Chrome is laughable and uninformed. It's not worth switching to Chrome at all, or to any other browser IMO.
Yes I know it lacks a classic bookmarks manager (although it already has the bookmarks bar which is enough for many people according to my real life and online "screenshot sharing" observation), but as you can see I don't need one.
Sync is coming... The ability to define our own custom search engines as default: they want to allow that after they implement an anti-hijacking method (I use Bing myself because that's the only alternative with good enough results to rival Google, but other people can use keywords or workarounds posted in these forums to use DDG, Start Page, Ixquick, etc).
So... What's the point of using other browsers, I ask...
