Reel Mowers
Aka Push/manual mowers
After doing a bunch of research, this seems like the best option:
http://www.homedepot.com/p/Ellison-Evolution-18-in-Easy-Push-Reel-Mower-with-Adjustable-Grass-Management-System-E2201-18/202811660#customer_reviews
http://www.amazon.com/Ellison-Evolution-Easy-Push-Adjustable-Management/dp/B005BRK8EA/ref=cm_cr_pr_product_top
But, none are available.
Other good options:
http://www.lowes.com/pd_372120-37174-H2201-18_0__?productId=3606264&Ntt=reel+mower&pl=1¤tURL=%3FNtt%3Dreel%2Bmower&facetInfo=#BVRRWidgetID
http://www.homedepot.com/p/Scotts-20-in-Reel-Mower-2010-20SG/202051457
After all that, I’m not going to get one because it seems that
1. It requires you to cut your lawn often (I don’t have time for that)
2. Doesn’t do well with weeds or anything thicker than grass
3. Can easily get “stuck” on mulch (which we have a ton of and ends up in the grass)