I run in the Nike LunarGlide. They say they have a feature called "Dynamic Support" and therefore fit for runners that underproante as well as runners that slightly overpronate. I can't approve this, as I tend to underpronate and have the feeling the Nike pushes my foot to the lateral edge even more.
I don't like them much.

I also have a pair of Terraplana Lucys, I like them more than the Nikes, but the sole is quite slippery, so I won't use them much in Winter.

Where I live it is ridiculously difficult to find a pair of neutral running shoes without giant heels.