As stated, V4 and M4 textures are supported by default when using Genesis.  As far as morphs, there's the option of using a Genesis specific character such as P3D's Carmen (http://www.renderosity.com/mod/bcs/p3d-carmen/93086) or using any number of morph packs ranging from Daz3D's Evolution for Genesis or the free DieTrying set over at ShareCG.  Currently maintaining a resource thread over at Daz's forums for a lot of stuff: http://www.daz3d.com/forums/viewthread/368/

V4 and M4 simply have a lot more options by sheer virtue of being around longer than Genesis though more is coming out over time.