Like Jay, I've had good results growing lettuce in a non-circulating system. I started out using gallon plastic
milk jugs that I had spray painted to keep out the light. Then I eventually switched to gallon glass old wine jugs. I made slip on covers for the jugs out of old denim pants that effectively keep the light out. I've grown lettuce for home use this way for about ten years.
Another way that I'm growing with non-circulating hydroponics is by using a medium to support the
roots. In my case, I'm using tumbled grass chunks (pieces are 1/4" to 1/2" diameter) that I got cheap from our recycling center. I can clean them between crops, so I'll be able to use them for the rest of my lifetime. Right now I'm using large (2 liter) wine bottles that I cut the tops off of. Then I fill them with the tumbled glass and plant the seedlings into that, then add hydroponic solution. So far I've been growing mini bokchoy and assorted Chinese greens, with great success. I'm planning on trying other crops.
The reason I'm using hydroponics is that we have a nasty parasite in Hawaii called rat-lung disease. My hydroponic set up is protected against slugs, the vector for this parasite. So with the hydroponics I feel safe eating raw veggies that I produce.