C
(root 6th string)

|-C-|---|---|---| 1 -1st string
|-G-|---|---|---| 5
|---|-E-|---|---| 3
|---|---|-C-|---| 1
|---|---|-G-|---| 5
|-C-|---|---|---| 1 -6th string
  |
 8th fret

Cm
(root 6th string)

Lower the E(3) on the 3rd string down a half step to E(3)

|-C-|---|---|---| 1 -1st string
|-G-|---|---|---| 5
|-E|---|---|---| 3
|---|---|-C-|---| 1
|---|---|-G-|---| 5
|-C-|---|---|---| 1 -6th string
  |
 8th fret

C+
(root 6th string)

To convert C to C+ you would have to raise the G(5) notes up to G(5). Unfortunately you just don't have enough fingers to play all 6 string here, so you have to start taking some strings out in order to make a useable chord form.

|-C-|---|---|---| 1 -1st string
|---|-G|---|---| 5
|---|-E-|---|---| 3
|---|---|-C-|---| 1
|---|---|---|-G| 5
|-C-|---|---|---| 1 -6th string
  |
 8th fret

C^o
(root 6th string)

Lower the E(3) on the 3rd string down a half step to E(3), and the G(5) notes on the 5th and 2nd strings down a half step to G(5).

Again, you are not getting anything that is very finger friendly here. You would have to leave some strings out.

|---|-C-|---|---|---| 1 -1st string
|-G|---|---|---|---| 5
|---|-E|---|---|---| 3
|---|---|---|-C-|---| 1
|---|---|-G|---|---| 5
|---|-C-|---|---|---| 1 -6th string
      |
     8th fret

Csus2
(root 6th string)

For Csus2 lower the E(3) down a whole step to D(2). Easy enough in theory, but again not a feasible chord form. You could leave out some strings to come up with a workable chord form.

|---|-C-|---|---|---| 1 -1st string
|---|-G-|---|---|---| 5
|-D-|---|---|---|---| 2
|---|---|---|-C-|---| 1
|---|---|---|-G-|---| 5
|---|-C-|---|---|---| 1 -6th string
      |
     8th fret

Csus4
(root 6th string)

For a Csus4 chord you just have to raise E(3) on the 3rd string up a half step to F(4). With this one you can actually comfortably play all 6 strings.

|-C-|---|---|---| 1 -1st string
|-G-|---|---|---| 5
|---|---|-F-|---| 4
|---|---|-C-|---| 1
|---|---|-G-|---| 5
|-C-|---|---|---| 1 -6th string
  |
 8th fret