Only in Chrome though (maybe some other apps, but definitely not a system-wide thing).
Here's a tip for perfectly centring windows: http://i.imgur.com/W7Uf0Zk.png
Works fine in Firefox.
Doesn't work in Finder.
Another fun trick:
Resize horizontally while holding option and it will expand/contract evenly on both sides
Try holding down the Shift key while pressing the Minimize button (At least in Chrome), or by clicking on an app that's already minimized to your dock. That's a real mind blow right there!
I always wondered what the purpose of this was... other than the obvious 'Woah...trippy mane'
It took me some time to realize what I was pressing after the first time I noticed it. I would just be switching screens or stuff like that, and then the window would trip out, and I would have no idea why!
Not only does it allow you to go fullscreen, but you can split the screen in a grid and place the apps however you like. For example it has defaults that let you split the screen in two. Left side browser, right side Inspector. An example. :)
I'm a Divvy man myself. http://mizage.com/divvy/
Err, why not use BetterSnapTool?
Some people are just knowing this? O_o
It says a lot about feature discoverability (mostly that accidental discovery [which this would be, IMO] sucks).
I am using Moom. http://manytricks.com/moom/
I prefer Better Snap Tool https://itunes.apple.com/us/app/bettersnaptool/id417375580?mt=12
Let's you do a little bit more than moom. (I could be wrong now - I compared these two a little over 2 years ago before buying better snap tool)
As someone who switched from Windows to OSX three years ago, this was the first things that I learned.