Other chords that you need to know are A minor and B major. These chords are used with E major chord. 
To play A minor chord, as shown in figure, take your guitar and put your index finger at first fret of B string, middle finger at second fret of D string and ring finger on second fret on G string. Now you strum. Note the 6th sting (low E), try avoiding that sting while playing.
 To play B major chord, as shown in figure, take your guitar and put your index finger at second fret of high E string, middle finger at fourth fret of D string, ring finger on fourth fret on G string and your pinky on fourth fret on B string. Now you strum gently. Try avoid playing low E and A strings.
Actually, B major is a barre chord. That means you have to put barre on second fret. But we don’t need to do that hard thing. Though we’ll learn the method at barre chord section.