Here are some of the chord forms that seem to come up often in the realm of finger style guitar playing. There are many more, of course, but these should provide a good foundation no matter what style of music you play. Other positions are shown next to some of the chord forms that are 'moveable'.
F F - 1st fret A A6 Table _x____ G - 3rd oo oo __________ t|||11 A - 5th |||||| |||||| 1 = index |||2|| B - 7th 5th-||||11 5th-|||||1 2 = middle ||3||| C - 8th fret |||2|| |||2|| 3 = ring |||||| ||3||| ||3|4| 4 = pinky |||||| |||||| t = thumb ______________________________________________________ o = open x = not played A E D E oo ox xoo oxx |||||| |||||| |||||| |||||| 9th-|||1|1 4th-|||1|1 5th-|||||1 7th-|||||1 ||||2| ||||2| |||||| |||||| ||3||| ||3||| |||23| |||23| |||||| |||||| |||||| |||||| ________________________________________________________________________ C7 C7 - 1st E7 A7 ______ D7 - 3rd ox oo ||||1| E7 - 5th |||||| |||||| ||2||| F7 - 6th 5th-||||1| 10th-||||1| tt|3|4 ||2||| ||2||| |||||| |||3|4 |||3|4 |||||| |||||| ________________________________________________________________________ F7 F7 - 1st G7 A7 _x____ G7 - 3rd x x oo 1|1|11 A7 - 5th |||||| |||||| |||2|| B7 - 7th 3rd-1|2|3| 5th-||1|11 |||||| C7 - 8th |||4|| |||2|| |||||| |||||| ________________________________________________________________________ E7 A7 B9 B9 - 1st ox oo x_____ C9 - 3rd |||||| |||||| ||1||| D9 - 5th 2nd-||1||| 7th-||1||| |2|333 E9 - 7th ||||2| ||||2| |||||| F9 - 8th |||3|4 |||3|4 |||||| |||||| ________________________________________________________________________ Fm Fm - 1st Am Am ______ Gm - 3rd oo oo 1||111 Am - 5th |||||| |||||| |||||| Bm - 7th 5th-|||111 8th-|||||1 |23||| Cm - 8th |||||| |||2|| |||||| ||3||| ||3|4| |||||| |||||| ________________________________________________________________________ Bm Bm - 2nd Em Dm |||||| Cm - 3rd o oo 2nd-11|||1 Dm - 5th |||||| |||||| ||||2| Em - 7th 7th-|1|||1 5th-|||||1 ||34|| Fm - 8th ||||2| ||||2| |||||| ||34|| |||3|| |||||| ||||||