bonedaddy mentions B7th as a chord to watch out for...why? there are several ways to play every chord all a player needs to do is find them, then the easiest one and finally the one that sounds best for the piece they're playing. it all comes with time, experience and practice. a lot of people get problems with "B minor", i don't understand why, it's just A minor up two frets with a barre!
icecubetray3pack mentions "A" chord shape, here's a tip and i know a lot of players use it, instead of using 3 fingers to play "A", use just one across all 3 strings. it will take a bit of practice, but once you get it it will help with barre chords, and your half way there to play "F sharp minor", (as used in Pretty Woman). as for muting strings, well you'll get that, sometimes it even adds to the effect.
try playing "F" without barring at all, don't play the bottom E string, but play the top E, it gives you "F major 7th", and fills in the sound and gives an extra dimension...i often play "G" the same way, it will give you "G6th" try it.
phill
Ask not what Chordie can do for you, but what you can do for Chordie.