I'd flown through MSP before and not counted it (likewise, I don't count Peru in my countries list), but this May, roozle and I had a three-hour layover there, so we hopped on the T (even the logo is the same) to the Mall of America, rode the rollercoaster, and had lunch at a little crepe stand before heading back to the airport to catch our connecting flight. I figure this counts as having visited the state.
With that, there are no longer any states I've been through without visiting at least a little. But there are quite a few I haven't slept in.
As always, the link to make your own:
create your own visited states map