There isn't one.  I think they intended the codec list to be extensible and support plugins, but never got around to it.  Given that they haven't made any changes to GDI+ in quite some time, they likely won't anytime soon. You could probably get away with generating your own hard coded list based on an enumeration of Gdiplus::GetImageEncoders.
That is:
image/bmp  : {557cf400-1a04-11d3-9a73-0000f81ef32e}
image/jpeg : {557cf401-1a04-11d3-9a73-0000f81ef32e} 
image/gif  : {557cf402-1a04-11d3-9a73-0000f81ef32e} 
image/tiff : {557cf405-1a04-11d3-9a73-0000f81ef32e}
image/png  : {557cf406-1a04-11d3-9a73-0000f81ef32e}
Here's the function I routinely cut&paste between projects for getting at the CLSID of the encoder. You could modify it to be a table lookup.
#include <windows.h>
#include <gdiplus.h>
#include <string>
#include <vector>
HRESULT GetGdiplusEncoderClsid(const std::wstring& format, GUID* pGuid)
{
    HRESULT hr = S_OK;
    UINT  nEncoders = 0;          // number of image encoders
    UINT  nSize = 0;              // size of the image encoder array in bytes
    std::vector<BYTE> spData;
    Gdiplus::ImageCodecInfo* pImageCodecInfo = NULL;
    Gdiplus::Status status;
    bool found = false;
    if (format.empty() || !pGuid)
    {
        hr = E_INVALIDARG;
    }
    if (SUCCEEDED(hr))
    {
        *pGuid = GUID_NULL;
        status = Gdiplus::GetImageEncodersSize(&nEncoders, &nSize);
        if ((status != Gdiplus::Ok) || (nSize == 0))
        {
            hr = E_FAIL;
        }
    }
    if (SUCCEEDED(hr))
    {
        spData.resize(nSize);
        pImageCodecInfo = (Gdiplus::ImageCodecInfo*)&spData.front();
        status = Gdiplus::GetImageEncoders(nEncoders, nSize, pImageCodecInfo);
        if (status != Gdiplus::Ok)
        {
            hr = E_FAIL;
        }
    }
    if (SUCCEEDED(hr))
    {
        for (UINT j = 0; j < nEncoders && !found; j++)
        {
            if (pImageCodecInfo[j].MimeType == format)
            {
                *pGuid = pImageCodecInfo[j].Clsid;
                found = true;
            }
        }
        hr = found ? S_OK : E_FAIL;
    }
    return hr;
}
int main()
{
    Gdiplus::GdiplusStartupInput gdiplusStartupInput;
    ULONG_PTR gdiplusToken;
    GdiplusStartup(&gdiplusToken, &gdiplusStartupInput, NULL);
    GUID guidBmp = {};
    GUID guidJpeg = {};
    GUID guidGif = {};
    GUID guidTiff = {};
    GUID guidPng = {};
    GetGdiplusEncoderClsid(L"image/bmp", &guidBmp);
    GetGdiplusEncoderClsid(L"image/jpeg", &guidJpeg);
    GetGdiplusEncoderClsid(L"image/gif", &guidGif);
    GetGdiplusEncoderClsid(L"image/tiff", &guidTiff);
    GetGdiplusEncoderClsid(L"image/png", &guidPng);
    return 0;
}