I have had a Litermeter III for a number of years, and an AquaMedic ReefDoser (twin) for about a year.
The LMIII has been OK, but my unit has seemed a bit underpowered at times... and it does require regular maintenence. One of my biggest issues with it has been that if the head binds, I don't necessarily know about it until my parameters begin to change. This would be true of any pump, however. Also, when I replace the hoses, it can take a fair amount of work to get the new one broken in enough for it to dose reliably (without binding up).
I have two "external" heads in addition to the one built-in. One of the external heads has a nice feature of a level-based cutoff switch. I have had a problem getting enough power to all 3 motors if they happen to run at the same time, especially if they are near binding. However, it has served me well overall. Am very interested in recent design changes hinted at in some of the other posts..
The ReefDoser I got because it looked like it could handle some higher rates, and I wanted a second "technology". I dose from a fresh RODI bucket, a Kalk bucket, and a baking soda bucket (at a low dose). I definitely like the LMIII for the "fine" dosing, as it is much easier to program and remembers its programming through a power glitch.
I have the AquaMedic tied to a small UPS along with a few other things I consider "critical", so the programming issue does not come up. Good thing, since I am not sure they could have made programming more of an aggravation! They are cheap, however.
Currently, I am getting ready to take a closer look at the ReefFiller diaphragm pumps Randy and others have mentioned, at least for my higher-rate needs.
-Mike