Which LMS do you use and why?

We vetted about 17 license-based systems and ultimately settled on Learn.com (now Taleo Learn).

Our search was complicated by the fact that we had approximately 13 functional areas that each had a stake in the LMS and, as you said, different needs.

We broke our requirements down into "Must haves", "should haves", and "nice to haves" and rated each system on how well it met the identified needs.

Since we were looking at a commercial solution, we had several vendors come in for demo sessions. We gave each vendor a script that included the things that we were most interested in seeing (our "must haves") and asked them not just to tell us whether it could be done on the system, but to show us HOW to do it on the system. From our initial vendor responses to our checklist, you'd have thought that each system did everything. By asking to see the process, we were able to weed out some systems that would have made our day-to-day overly cumbersome.

So my advice - Get a reasonable idea of how you want your process to flow and then do a "show me, don't tell me" review.