Yar, LiMn needs to be on that list. Though, I'd put it second behind LiFePO4 - well, assuming e-molis vs a123s. Even within the same chemistry, there's a lot of variation in the quality of the cells from different manufacturers.
Also, "li-ion" is a general name that includes LiPo, LiCo, LiMn, LiFe, etc.