LMS Advice / Recommendation

I think of Brandon Hall as the "Consumer Reports" of all things related to organizational development. They have regular reviews of LMSs however you do have to pay (or your organization does) for the research. However an LMS is a significant enough investment I personally think it is well worth careful research: http://brandonhall.com/learning-management-systems.php.

I've used some of the larger LMSs: Cornerstone, HealthStream, GeoLearning (since purchased by SumTotal) and have been involved in a couple of LMS procurement projects. There are a lot of providers out there who would meet the requirements you have outlined. The challenge might be narrowing the field moreso than finding one that can do the job. Best of luck to you!