When viewing piano or guitar chords, there are the usual A,C,D,E,G major chords. Why not B and F majors as well?
There are B and F chords; most commonly, the F is a barred E-shape chord in the first position, and the B is a barred A-shape chord in the second position.
As for "open" chords, there is the Fmaj7 (x x 3 2 1 0), the B7 (x 2 1 2 0 2), the Bmin7b5 (x 2 3 2 3 x), and the Bmin11b5 (x 2 3 2 3 0). [For me, the last chord was popularized by ELP's From The Beginning tune.]
All of the chord forms that the OP cites may be barred and transposed up the guitar neck, but the most common forms are the E and A forms. The others simply require a bit more dexterity. All of these forms -- and their derivatives -- will give you great flexibility.