Gmail now offers you a 5GB space to store your email as you can see on the home page.

From Google:

In April 2005, we started increasing Gmail storage as part of our “Infinity+1″ storage plan. At that time, we realized we’d never reach infinity, but we promised to keep giving Gmail users more space as we were able. That said, a few of you are using Gmail so much that you’re running out of space, so to make good on our promise, today we’re announcing we are speeding up our counter and giving out more free storage.