What style of art is this?
The style of 20s-30s cartoons is called Inkblot (see http://tvtropes.org/pmwiki/pmwiki.php/Main/InkblotCartoonStyle for more details), maybe this could help in your research.

The two images you posted have both an Inkblot feel, but they are more "graphical", in a sense of being more graphic illustrations. Probably they're also both vector illustrations, which gaves them the feel of being like "plastic". These are more personal observations, of course, but they might help you.