Can you even walk in a spacesuit in normal Earth gravity? It seems the mobility limitation alone would be the biggest issue.
I saw some proposals for skin-tight “Mars suits” a few years ago, the environment was still self-contained, but unlike a space suit it could dispense with a ton of the equipment (Mars having a thin atmosphere) and make for a much lighter suit.
Here’s an article with photo: http://www.reuters.com/article/2011/03/21/us-argentina-nasa-spacesuit-idUSTRE72K56M20110321