does any1 play G like this?

I've seen that variation recommended in a few songs and have given it a try.  I may not have played it right because I didn't notice any particular improvement over the other way when I gave it a go.

- Zurf

It's just putting a little bit more emphasis on the D in the chord rather than the B. So you get a slightly brighter sounding G chord. To my ear any way. It won't fit better all the time but it's good to be aware that it is an option.

I do depending on the next chord in the progression. I'll use 320033 when changing to a D ,Em7,Cadd9..etc and use 320003 when changing to a C, Fmaj7..etc I look at every song before I sit down to learn it and use the fingering for the chords that make the progression easiest for me. I ussually try to incorporate guides and pivots into my changes to ease them. Peace!

sometimes, I also play the C chord in a similar way

x   x   x   x   o   x
x   x   x   o   x   x
x   o   o   x   x   x

looks like an Fmaj7 to me

I thought C/G was 302010.  If not, I've been playing it wrong.  And the reason I thought I knew that one was it's how I was playing G7 wrong.  I've got to stop finding chords by playing them wrong.  Maybe I should get a chord calculator...

- Big D

It is definitely not C/G, the configuration is similar but you put 2 fingers on E & A string in 3th fret and 1 finger on D string 2nd fret, and finally B string 1th fret. It is an unusual chord, a lot of people don't know this combination, but it sounds even more  beautiful if you avoid the last 2 strings, B and E, and try now to go down from 3th fret, same finger position on 2nd fret.
SH** I am giving you all those nice tips that I use quit often "creating" songs. NO, you should really try this.
The other chord: what is similar? you just move your fingers on the 3th fret starting from E string 3th fret and A 3th fret to A 3th fret and D 3th fret, the finger who was on the 2nd fret on the D string has to go to the G-string 2nd and the last finger remains on fret 1 B-string.
The chord described in the topic is the F major chord
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C/G

x x x x o x
x x o x x x
o o x x x x

palmerjake, round here they call that a cajun G

All You Need is Love

i think doc has just made a simple error.
x  x  x  x  o  x
x  x  o  x  x  x
o  o  x  x  x  x

is a C/G because it is the standard open c chord with a g root (3rd fret E string).
He's just accidentaly said to fret the A and D string on the 3rd fret instead of the E and A.