I knew there had to be other people out there who liked this one.

Actually of course it's not an E chord at all, and by some definitions not a chord as such at all, since it's only got two notes. It's an E Dyad, with just the E and the B notes, so it isn't either Major (with the G#) or Minor (with the G). Anyway it's a sound I love.

I suppose if you wanted to play an E major up there with open string, you could just fret the A string on the 11th fret, and leave the rest the same, but I don't like the sound as much. (And for an E minor instead leave the G string unfretted - I quite like that sound.)