You could look up "New Standard" tuning, that Robert Fripp invented, which goes:
6th- C
5th- G
4th- D
3rd- A
2nd- E
1st- G
I'm just getting into experimenting with it, some of the chord voicings are really expressive. I couldn't really tell you any proper chord shapes as yet though, in fact I don't think any of the ones I'm doing are even proper chords. 😆