When it comes to flamenco and chords, there are alternative and ordinary open chords, barre chords and many voicings.
The Spanish cadence
You could use typical open chords when playing in the style of flamenco, especially A minor and E major, which also are used as a cadence. These can in some cases be substituted with barre chords and the G/E chord can be replaced by a regular open G. The Spanish (or Andalusian) cadence include four chords and is often played in A or D minor.
Am - G - F - E or Am - G7 - F - E
Dm - C - Bb - A
The chords in the Spanish cadence could be part of other typical progressions, or forms that is the word used in this music style. Two common progressions, or forms, are por arriba and por medio in which precedes as short cadence:
F - E - F - E - Am - C - F - E (por arriba)
Bb - A - Bb - A - Dm - C - Bb - A (por medio)
These are sometimes prolonged with the "cambio change" as a midle part, resulting in:
F - E - F - E - Am - G - C - Am - G7 - F - E
Bb - A - Bb - A - Dm - C - F - Dm - C7 - Bb - A
Flamenco chords and voicings
Here are additional typical flamenco chords, including voicings.
The chord called "A" is as you can see similar to a regular A major chord but with a finger on the third fret. You can also alternate between the ordinary A and the flamenco voicing.
Some chord progressions to try are:
E - Fmaj13/E
Am - G6 - E
Am - G/E - Fmaj13/E - E (see tab)
Dm - C - Bb - A
A - Bb - F - C/G - Bb - A
Combine chords with scales
To enrich the playing with melody lines et cetera you could combine these chords with scales. Two scales frequently used in flamenco are "Por Aribba" and "Por Medio". You can find instructions for these together with more information about chords in this Lesson of Flamenco Guitar.
Spanish chord voicings
One of the alternatives to what have been presented above are these chords, which can be played alone or mixed with them above.
A simple approach for getting a "Spanish" feel is to play these in the sequence is like this:
E - F - G
Am - G - F - E
You can also combine these with notes from the Am minor scale on the high e-string.
Techniques and rhythms
In flamenco it is fundamental to use proper techniques and congenial rhythms. A useful resource is this lesson: What is Flamenco Guitar? Terms and Techniques You Need to Know.
Here are sound tracks to jam with. The following jam tracks are for flamenco, Spanish and Latin styles and involves only drums.