I came for ZeroPunctuation, but I went through a stage last year that I was a little tired of it and I probably wouldn't have stayed...
...but by that stage I was here for Escape to the Movies...
...and then came Extra Credits...
...and now Miracle of Sound is so damn good that I'd stay just to see his stuff.
Those four are the main reasons I like Escapist. The articles are often interesting, and I really like Shamus Young's stuff (though it's been a little irregular of late), and I've enjoyed Unskippable, Daily Drop and a few others as well.
But the core reason is ZP, EttM, EC and MoS.